Tootfinder

This https://arxiv.org/abs/2309.16505 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On categorical local langlands program for $GL_n$
We study various moduli spaces of local Shtukas in the setting of Fargues' program for $GL_n$. In certain cases, this gives us an explicit description of the spectral action which was recently introduced by Fargues and Scholze. This description sheds light to the categorical local Langlands program for $GL_n$ and allows us to construct Hecke eigensheaves associated to certain $\ell$-adic Weil representations of rank $n$ and to prove some parts of Fargues' conjecture. Moreover, by using this des…

This https://arxiv.org/abs/2009.06708 has been replaced.
link: https://scholar.google.com/scholar?q=a

Moduli of Langlands Parameters
Let $F$ be a nonarchimedean local field of residue characteristic $p$, let $\hat{G}$ be a split reductive group over $\mathbb{Z}[1/p]$ with an action of $W_F$, and let $^LG$ denote the semidirect product $\hat{G}\rtimes W_F$. We construct a moduli space of Langlands parameters $W_F \to {^LG}$, and show that it is locally of finite type and flat over $\mathbb{Z}[1/p]$, and that it is a reduced local complete intersection. We give parameterizations of the connected components and the irreducible …

Okay so net zero is a scam, but it had not occurred to me that CO2 pipeline leaks could be a direct local threat, besides just being a diversion from more meaningful action.
https://www.levernews.com/the-rise-of-big-oils-zombie-pipelines/

The Rise Of Big Oil’s Zombie Pipelines
Big Oil is fighting to limit safety protections to expedite its build-out of experimental carbon dioxide pipelines, endangering nearby communities.

Torchwood: Sabotage - complete series 🏔️🏕️🔥
Dramatized scifi action story | Total listening time: 1h 18m
Vultura has started mining mountains in India. The local villagers, displaced into a resettlement camp, are retaliating. Brought in to stop the sabotage, Mr Colcheste finds that the camp is overseen by Ace. Who is causing the sabotage?...

Torchwood: Sabotage - complete series 🏔️🏕️🔥
Dramatized scifi action story | Total listening time: 1h 18m Vultura has started mining mountains in India. The local villagers, displaced into a resettlement camp, are retaliating. Brought in to stop the sabotage, Mr Colcheste finds that the camp is overseen by Ace. Who is causing the sabotage? His suspicions are aroused. Ace always was good with explosives. 1 seasons, 1 episodes as of Feb 22, 2024.

Effects of an Explicit Time-Dependent Radiation Pressure Force on Trajectories of Primary Neutral Hydrogen in the Heliosphere
Lucas Dyke, Hans-Reinhard M\"uller
https://arxiv.org/abs/2404.17659

Effects of an Explicit Time-Dependent Radiation Pressure Force on Trajectories of Primary Neutral Hydrogen in the Heliosphere
Radiation pressure exerted by solar photon output is salient to the motion of primary neutral hydrogen atoms streaming into the inner heliosphere directly from the Local Interstellar Medium (LISM). The action of a time-dependent radiation pressure force, when coupled with the usual gravitational force, changes the characteristic velocities, and therefore energies, of the atoms when they reach regions in which explorer probes are present. A study is presented that uses a 2D code to backtrace neu…

Local Data for Local Action
#RealEstate #Housing #UrbanInstitute

The deformed Tanisaki-Garsia-Procesi modules
Maico Freitas, Evgeny Mukhin
https://arxiv.org/abs/2402.17865 https://arxiv.org/pdf/2402…

The deformed Tanisaki-Garsia-Procesi modules
The polynomial ideals studied by A. Garsia and C. Procesi play an important role in the theory of Kostka polynomials. We give multiparameter flat deformations of these ideals and define an action of the extended affine symmetric group on the corresponding quotient algebras multiplied by the sign representation. We show that the images of these modules under the affine Schur-Weyl duality are dual to the local Weyl modules for the loop algebra $\mathfrak{sl}_{n+1}[t^{\pm 1}].$

X reports taking down accounts and posts following an order by the Indian government, which local media tied to farmers' protests, and disagrees with the action (Shivam Patel/Reuters)
https://www.reuters.com/world/india/x-says

Tenant protection bills sponsored by Maryland's leading yimby legislator Vaughn Stewart pass House of Delegates, while modest housing production bill introduced by Gov Moore moves slowly (and may get watered down) in the face of opposition from homeowner groups & local governments.

Landlord-tenant bills provide drama in 'Crossover Day' House action - Maryland Matters
Republican lawmaker longs for bill that seeks to punish 'slum-tenants.

Addressing Myopic Constrained POMDP Planning with Recursive Dual Ascent
Paula Stocco, Suhas Chundi, Arec Jamgochian, Mykel J. Kochenderfer
https://arxiv.org/abs/2403.17358

Addressing Myopic Constrained POMDP Planning with Recursive Dual Ascent
Lagrangian-guided Monte Carlo tree search with global dual ascent has been applied to solve large constrained partially observable Markov decision processes (CPOMDPs) online. In this work, we demonstrate that these global dual parameters can lead to myopic action selection during exploration, ultimately leading to suboptimal decision making. To address this, we introduce history-dependent dual variables that guide local action selection and are optimized with recursive dual ascent. We empirical…

The motivic Hecke algebra for PEL Shimura varieties
Mattia Cavicchi
https://arxiv.org/abs/2403.19568 https://arxiv.org/pdf/2403.19568…

The motivic Hecke algebra for PEL Shimura varieties
We construct a motivic lift of the action of the Hecke algebra on the cohomology of PEL Shimura varieties $S_K$. To do so, when $S_K$ is associated with a reductive algebraic group $G$ and $V$ is a local system on $S_K$ coming from a $G$-representation, we define a motivic Hecke algebra $\mathcal{H}^M(G,K)$ as a natural sub-algebra of the endomorphism algebra, in the triangulated category of motives, of the constructible motive associated with $S_K$ and $V$. The algebra $\mathcal{H}^M(G,K)$ is …

The qubit information logic theory for understanding multi-qubit entanglement and designing exotic entangled states
Zixuan Hu, Sabre Kais
https://arxiv.org/abs/2402.15699

The qubit information logic theory for understanding multi-qubit entanglement and designing exotic entangled states
We develop a "qubit information logic" (QIL) theory that uses the "qubit information equation" (QIE) and logic to describe the correlation behaviors of multi-qubit entanglement. Introducing the "global information status" and "local information availability", the QIL gives an alternative and natural interpretation of the "spooky action" and the quantum no-communication theorem. Compared to the conventional entropy-based entanglement theories, the QIL directly describes the correlation of each p…

On the locality of formal distributions over pre-Lie and Novikov algebras
L. A. Bokut, P. S. Kolesnikov
https://arxiv.org/abs/2404.17232 https://

On the locality of formal distributions over pre-Lie and Novikov algebras
The Dong Lemma in the theory of vertex algebras states that the locality property of formal distributions over a Lie algebra is preserved under the action of a vertex operator. A~similar statement is known for associative algebras. We study local formal distributions over pre-Lie (right-symmetric), pre-associative (dendriform), and Novikov algebras to show that the analogue of the Dong Lemma holds for Novikov algebras but does not hold for pre-Lie and pre-associative ones.

Oh look, election fraud!
(It’s always projection.)
https://mastodon.tucsonsentinel.com/@TucsonSentinel/112295057855183852

Tucson Sentinel (@TucsonSentinel@mastodon.tucsonsentinel.com)
Az Rep. Austin Smith drops reelection campaign amid accusations of petition fraud https://www.tucsonsentinel.com/local/report/041824_austin_sig_fraud/az-rep-austin-smith-drops-reelection-campaign-amid-accusations-petition-fraud/ Republican state representative and Turning Point Action member Austin Smith has dropped his Arizona reelection bid after being accused of personally forging more than 100 petition signatures to get on the 2024 ballot. #Tucson #Arizona

Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
A. V. Ivanov
https://arxiv.org/abs/2402.14549

Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
The paper studies the quantum action for the four-dimensional real $ϕ^4$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The absence of non-local singular contributions and the correctness of the renormalization $\mathcal{R}$-operation on the example of separate three-loop diagrams are also discussed. The explicit form of the first three coeffic…

"too smart to not be depressed"
I mean...
privilege does play into that, right? the ability to ignore the hellscape because it doesn't impact you?
but it's also... okay? to not doomscroll all day? like you have a limited amount of spoons to give, so you prioritize
taking someone who's neutral and going:
"arg why aren't you freaking out like I am that the world is burning you aren't doing enough?!??!?!"
vs
"hey, I care about ABC, so later on me and the crew were gonna talk about XYZ steps to make the world a better place. you wanna join?"
like, yes the world is on fire, and needs action now.
motivating people to do something is a skill.
anybody with half a brain can alienate people into inaction.
if "Aaaaahhh!! on fire!" motivates you and your friend group, cool.
I'm trying to motivate a bunch of peaceful, privileged, "it doesn't affect me yet" folks.
they would instantly tune out a protest.
but they are someone who could do other stuff :)
organize to solve a smaller local problem, first.

"by 2050, 10% to 47% of Amazonian forests will be exposed to compounding disturbances that may trigger unexpected ecosystem transitions ... inherent complexity of the Amazon adds uncertainty about future dynamics, but also reveals opportunities for action... a combination of local efforts to end deforestation and degradation and to expand restoration, with global efforts to stop greenhouse gas emissions."
How close is

Tenant protection bills sponsored by Maryland's leading yimby legislator Vaughn Stewart pass House of Delegates, while modest housing production bill introduced by Gov Moore moves slowly (and may get watered down) in the face of opposition from homeowner groups & local governments.

Landlord-tenant bills provide drama in 'Crossover Day' House action - Maryland Matters
Republican lawmaker longs for bill that seeks to punish 'slum-tenants.

This https://arxiv.org/abs/2310.09844 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Risk-Adaptive Local Decision Rules
For parameterized mixed-binary optimization problems, we construct local decision rules that prescribe near-optimal courses of action across a set of parameter values. The decision rules stem from solving risk-adaptive training problems over classes of continuous, possibly nonlinear mappings. In asymptotic and nonasymptotic analysis, we establish that the decision rules prescribe near-optimal decisions locally for the actual problems, without relying on linearity, convexity, or smoothness. The …

To settle a class action suit, Uber agreed to pay ~$178M to compensate taxi drivers in Australia who claimed they lost income when Uber entered the local market (Angus Whitley/Bloomberg)
https://www.bloomberg.com/news/articles/20

Uber to Pay Australian Taxi Drivers $178 Million to Settle Suit
Uber agreed to pay A$271.8 million ($178 million) to compensate thousands of taxi drivers in Australia who claimed they lost income when the ride-share company entered the local market.

Depending on yourself when you should: Mentoring LLM with RL agents to become the master in cybersecurity games
Yikuan Yan, Yaolun Zhang, Keman Huang
https://arxiv.org/abs/2403.17674

Depending on yourself when you should: Mentoring LLM with RL agents to become the master in cybersecurity games
Integrating LLM and reinforcement learning (RL) agent effectively to achieve complementary performance is critical in high stake tasks like cybersecurity operations. In this study, we introduce SecurityBot, a LLM agent mentored by pre-trained RL agents, to support cybersecurity operations. In particularly, the LLM agent is supported with a profile module to generated behavior guidelines, a memory module to accumulate local experiences, a reflection module to re-evaluate choices, and an action m…

This https://arxiv.org/abs/1610.09621 has been replaced.
link: https://scholar.google.com/scholar?q=a

Hamiltonian analysis of the BFCG theory for a strict Lie 2-group
We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all local degrees of freedom which implies that the BFCG theory is a topological field theory.

Inside tech billionaires’ push to reshape San Francisco politics: ‘a hostile takeover’
Since 2022, political groups like Neighbors for a Better San Francisco Advocacy, GrowSF, and TogetherSF Action have raised millions to influence political battles — and they have won several major victories.
In large part, their war chests are funded by extremely wealthy individuals with interests in tech or real estate.
The groups share many of the same donors and support many of the sa…

The qubit information logic theory for understanding multi-qubit entanglement and designing exotic entangled states
Zixuan Hu, Sabre Kais
https://arxiv.org/abs/2402.15699

The qubit information logic theory for understanding multi-qubit entanglement and designing exotic entangled states
We develop a "qubit information logic" (QIL) theory that uses the "qubit information equation" (QIE) and logic to describe the correlation behaviors of multi-qubit entanglement. Introducing the "global information status" and "local information availability", the QIL gives an alternative and natural interpretation of the "spooky action" and the quantum no-communication theorem. Compared to the conventional entropy-based entanglement theories, the QIL directly describes the correlation of each p…

Oh look, election fraud!
(It’s always projection.)
https://mastodon.tucsonsentinel.com/@TucsonSentinel/112295057855183852

Tucson Sentinel (@TucsonSentinel@mastodon.tucsonsentinel.com)
Az Rep. Austin Smith drops reelection campaign amid accusations of petition fraud https://www.tucsonsentinel.com/local/report/041824_austin_sig_fraud/az-rep-austin-smith-drops-reelection-campaign-amid-accusations-petition-fraud/ Republican state representative and Turning Point Action member Austin Smith has dropped his Arizona reelection bid after being accused of personally forging more than 100 petition signatures to get on the 2024 ballot. #Tucson #Arizona

This https://arxiv.org/abs/2401.05360 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hep…

Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree-level Symanzik-improved gauge action and 2+1 flavour tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization f…

"by 2050, 10% to 47% of Amazonian forests will be exposed to compounding disturbances that may trigger unexpected ecosystem transitions ... inherent complexity of the Amazon adds uncertainty about future dynamics, but also reveals opportunities for action... a combination of local efforts to end deforestation and degradation and to expand restoration, with global efforts to stop greenhouse gas emissions."
How close is

Local spectral estimates and quantitative weak mixing for substitution $\mathbb{Z}$-actions
Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak
https://arxiv.org/abs/2403.12657

Local spectral estimates and quantitative weak mixing for substitution $\mathbb{Z}$-actions
The paper investigates Hölder and log-Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals. In the case when there are no eigenvalues of the substitution matrix on the unit circle, our main theorem says that a weakly mixing substitution $\mathbb{Z}$-action has uniformly log-Hölder regular spectral me…

Effective field theory for ersatz Fermi liquids
Xiaoyang Huang, Andrew Lucas, Umang Mehta, Marvin Qi
https://arxiv.org/abs/2402.14066 https://

Effective field theory for ersatz Fermi liquids
We apply "hydrodynamic" effective field theory techniques to an ersatz Fermi liquid. Our effective theory, which captures the correlation functions of density operators at each angle on the Fermi surface, can only deviate from conventional Fermi liquid behavior if the effective theory is non-local. Neglecting non-local effects, the ersatz Fermi liquid's effective action is the Legendre transform of the effective action for Fermi liquids, based on the coadjoint orbit method, up to irrelevant cor…

Simplified functional flow equation
C. Wetterich
https://arxiv.org/abs/2403.17523 https://arxiv.org/pdf/2403.17523

Simplified functional flow equation
We propose to adapt the precise definition of the flowing effective action in order to obtain a functional flow equation with simple properties close to physical intuition. The simplified flow equation is invariant under local gauge transformations and suitable for both euclidean and Minkowski signature and analytic continuation. The cutoff always removes fluctuations close to zeros of the inverse full propagator. A formulation of the simplified flow equation in terms of renormalized scale inva…

This https://arxiv.org/abs/2404.11297 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Exotic groupoid $C^*$-algebras associated to double groupoids
We consider a class of local action groupoids called double groupoids which are constructed from pairs of subgroups satisfying similar conditions to those of a matched pair of groups. They are partial transformation groupoids whenever they are étale, and in this setting, we show that if the partially acting group admit exotic ideal completions in the sense of Brown and Guentner, then the corresponding double groupoid also admit exotic $C^*$-completions.

A German second division club is also doing this.
You could do it philanthropically; the business model has changed.
“The club began what amounts to a live-action experiment examining some of the most profound issues affecting sports in the digital age: the relationship between cost and value; the connection between fans and their local teams; and, most important, what it is to attend an event at a time when sports are just another arm of the entertainment industry.”

Paris F.C. Set Tickets To $0. Should Others Do the Same?
When Paris F.C. made its tickets free, it began an experiment into the connection between fans and teams, and posed a question about the value of big crowds to televised sports.

Inside tech billionaires’ push to reshape San Francisco politics: ‘a hostile takeover’
Since 2022, political groups like Neighbors for a Better San Francisco Advocacy, GrowSF, and TogetherSF Action have raised millions to influence political battles — and they have won several major victories.
In large part, their war chests are funded by extremely wealthy individuals with interests in tech or real estate.
The groups share many of the same donors and support many of the sa…

This https://arxiv.org/abs/2306.14279 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Local cohomology of modular invariant rings
For $K$ a field, consider a finite subgroup $G$ of $\operatorname{GL}_n(K)$ with its natural action on the polynomial ring $R:=K[x_1,\dots,x_n]$. Let $\mathfrak{n}$ denote the homogeneous maximal ideal of the ring of invariants $R^G$. We study how the local cohomology module $H^n_{\mathfrak{n}}(R^G)$ compares with $H^n_{\mathfrak{n}}(R)^G$. Various results on the $a$-invariant and on the Hilbert series of $H^n_\mathfrak{n}(R^G)$ are obtained as a consequence.

Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory
Christopher J. Fewster, Daan W. Janssen, Leon Deryck Loveridge, Kasia Rejzner, James Waldron
https://arxiv.org/abs/2403.11973

Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory
We develop an operational framework, combining relativistic quantum measurement theory with quantum reference frames (QRFs), in which local measurements of a quantum field on a background with symmetries are performed relative to a QRF. This yields a joint algebra of quantum-field and reference-frame observables that is invariant under the natural action of the group of spacetime isometries. For the appropriate class of quantum reference frames, this algebra is parameterised in terms of crossed…

High-priority local actions in Biden’s new plan to slash building GHG emissions
#RealEstate #UrbanDevelopment #SmartCitiesDive

This https://arxiv.org/abs/2402.12542 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Tensor decompositions with applications to LU and SLOCC equivalence of multipartite pure states
We introduce a broad lemma, one consequence of which is the higher order singular value decomposition (HOSVD) of tensors defined by DeLathauwer, DeMoor and Vandewalle (2000). By an analogous application of the lemma, we find a complex orthogonal version of the HOSVD. Kraus' (2010) algorithm used the HOSVD to compute normal forms of almost all $n$-qubit pure states under the action of the local unitary group. Taking advantage of the double cover $\operatorname{SL}_2(\mathbb{C}) \times \operatorn…

This https://arxiv.org/abs/2401.05360 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hep…

Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree-level Symanzik-improved gauge action and 2+1 flavour tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization f…

This https://arxiv.org/abs/2207.13193 has been replaced.
link: https://scholar.google.com/scholar?q=a

Compatibility of the Fargues--Scholze correspondence for unitary groups
We study unramified unitary and unitary similitude groups in an odd number of variables. Using work of the first and third named authors on the Kottwitz Conjecture for the similitude groups, we show that the Fargues--Scholze local Langlands correspondence agrees with the semi-simplification of the local Langlands correspondences constructed by Mok for the groups we consider. This compatibility result is then combined with the spectral action constructed by Fargues--Scholze, to verify their cate…

Quantum master equation and Hodge correlators
Hisatoshi Kodani, Yuji Terashima
https://arxiv.org/abs/2404.09488 https://arxiv.org/pdf…

Quantum master equation and Hodge correlators
We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This connection and the Maurer--Cartan equation can be viewed as an arithmetic analogue of effective action and quantum master equation respectively in non-acyclic Chern--Simons perturbation theory associated with the trivial local system.

This https://arxiv.org/abs/2212.12561 has been replaced.
link: https://scholar.google.com/scholar?q=a

An active learning method for solving competitive multi-agent decision-making and control problems
To identify a stationary action profile for a population of competitive agents, each executing private strategies, we introduce a novel active-learning scheme where a centralized external observer (or entity) can probe the agents' reactions and recursively update simple local parametric estimates of the action-reaction mappings. Under very general working assumptions (not even assuming that a stationary profile exists), sufficient conditions are established to assess the asymptotic properties o…

This https://arxiv.org/abs/2402.12097 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Holographic dual effective field theory for an SYK model
We derive an emergent holographic dual description for an SYK model, where the renormalization group (RG) flows of collective bi-local fields appear manifestly in the bulk effective action with an emergent extradimension. This holographic dual effective field theory reproduces $1/N$ quantum corrections given by the Schwarzian action when we take the UV limit in the bulk effective action. Going into the IR regime in the extradimension, we observe that the field theoretic $1/N$, $1/N^{2}$, ... qu…

This https://arxiv.org/abs/2401.15745 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The computation of approximate feedback Stackelberg equilibria in multi-player nonlinear constrained dynamic games
Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a common scenario in practice, presents significant challenges. This work introduces an efficient method for computing local feedback Stackelberg policies in multi-player general-sum dynamic games, with continuous state and action spaces. Different from existing (approximate) dynamic programming solutions that are primarily designed for unconstrained problems, our approach involves reformulating a feedback Stack…

Migration of two Interacting Micro-Confined Deformable Drops Under an Imposed Temperature Gradient
Sayak Ray, Sudipta Ray, Prof. Suman Chakraborty
https://arxiv.org/abs/2403.07361

Migration of two Interacting Micro-Confined Deformable Drops Under an Imposed Temperature Gradient
A tiny drop of one liquid, suspended within another, may be set into motion aligned with an imposed thermal gradient, as influenced by thermocapillary action stemming from the gradients in interfacial tension due to the local variations in temperature. In real-world situations, however, such drops do not remain in isolation, as they interact with their neighbouring entities including other drops in the proximity as well as a nearby solid boundary, setting up a complex interplay between the conf…

Continuity and equivariant dimension
Alexandru Chirvasitu, Benjamin Passer
https://arxiv.org/abs/2403.06767 https://arxiv.org/pdf/240…

Continuity and equivariant dimension
We study the local-triviality dimensions of actions on $C^*$-algebras, which are invariants developed for noncommutative Borsuk-Ulam theory. While finiteness of the local-triviality dimensions is known to guarantee freeness of an action, we show that free actions need not have finite weak local-triviality dimension. Moreover, the local-triviality dimensions of a continuous field may be greater than those of its individual fibers, and the dimensions may fail to vary continuously across the fiber…

Tensor gauge fields and dark matter in general relativity with fermions
Kevin Cahill
https://arxiv.org/abs/2404.05766 https://arxiv.o…

Tensor gauge fields and dark matter in general relativity with fermions
The action of general relativity with fermions has two independent symmetries: general coordinate invariance and local Lorentz invariance. General coordinate transformations act on coordinates and tensor indices, while local Lorentz transformations act on Dirac and Lorentz indices, much like a noncompact internal symmetry. \par The internal-symmetry character of local Lorentz invariance suggests that it might be implemented by tensor gauge fields with their own Yang-Mills action rather than by …

A note on the cohomology of moduli spaces of local shtukas
David Hansen, Christian Johansson
https://arxiv.org/abs/2404.04083 https://

A note on the cohomology of moduli spaces of local shtukas
We study localized versions of the spectral action of Fargues--Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.

🌍🔥 #ClimateCrisis & Inequality: The devastating heatwave in West Africa this February, supercharged by human-induced global warming, has brought untold hardship to millions. 🚨 With temperatures soaring 4°C higher due to climate change, the impact on daily life and livelihoods is unprecedented. This isn't just about discomfort; it's a matter of survival for communities whose way of life is tethered to the rhythm of our planet. 🌱💔
Farmers, particularly those cultivating cocoa, face a double jeopardy: extreme heat followed by erratic rainfall, pushing them to the brink. The ripple effects are felt globally, but it's the local communities who bear the brunt—struggling with crop failure, soaring prices, and the dire choice between immediate survival and long-term resilience. 🌾📈
This is a clarion call for immediate action. As the globe hits record temperatures, the disparity between the vulnerable and the resilient widens. We must rally for robust climate policies, equitable support mechanisms, and a swift transition to sustainable practices. 🌏✊ Let's not wait until it's too late to acknowledge the human cost of inaction. #ClimateActionNow #SocialInequality #SustainableLivelihoods
https://www.theguardian.com/environment/2024/mar/21/west-africa-heatwave-climate-crisis-study

What if string theory has a de Sitter excited state?
Joydeep Chakravarty, Keshav Dasgupta
https://arxiv.org/abs/2404.11680 https://ar…

What if string theory has a de Sitter excited state?
We propose precise effective field theory criteria to obtain a four-dimensional de Sitter space within M-theory. To this effect, starting with the state space described by the action of metric perturbations, fluxes etc over the supersymmetric Minkowski vacuum in eleven-dimensions, we discuss the most general low energy effective action in terms of the eleven-dimensional fields including non-perturbative and non-local terms. Given this, our criteria to obtain a valid four-dimensional de Sitter s…

Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
A. V. Ivanov, N. V. Kharuk
https://arxiv.org/abs/2404.07513

Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
The paper studies the quantum action for the five-dimensional real $ϕ^3$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The explicit form of the first three coefficients for the renormalization constants is presented. The absence of non-local singular contributions and partial results for the fourth correction are discussed.

Exotic groupoid $C^*$-algebras associated to double groupoids
Mathias Palmstr{\o}m
https://arxiv.org/abs/2404.11297 https://arxiv.org…

Exotic groupoid $C^*$-algebras associated to double groupoids
We consider a class of local action groupoids called double groupoids which are constructed from pairs of subgroups satisfying similar conditions to those of a matched pair of groups. They are partial transformation groupoids whenever they are étale, and in this setting, we show that if the partially acting group admit exotic ideal completions in the sense of Brown and Guentner, then the corresponding double groupoid also admit exotic $C^*$-completions.

This https://arxiv.org/abs/2403.06346 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the rational invariants of quantum systems of $n$-qubits
For an $n$-qubit system, a rational function on the space of mixed states which is invariant with respect to the action of the group of local symmetries may be viewed as a detailed measure of entanglement. We show that the field of all such invariant rational functions is purely transcendental over the complex numbers and has transcendence degree $4^n - 2n-1$. An explicit transcendence basis is also exhibited.

This https://arxiv.org/abs/2311.14630 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism
We consider the case of the SYK model with non-gaussian disorder in the large $N$ limit. After obtaining the effective action, we derive the density of states and the free energy of the modified theory. We show that the non-gaussian disorder corresponds to a non-local Liouville theory, and non-minimally coupled 2D gravity action. It also provides a nice realization of Colemania - Coleman's idea from the 80s of generating a small Cosmological Constant. Finally, we also calculate out of time orde…