Tootfinder

Getting ready to trade in our car and realised the media system is probably not a selling point. What happened to these services?

This https://arxiv.org/abs/2501.00092 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Moments and saddles of heavy CFT correlators
We study the operator product expansion (OPE) of identical scalars in a conformal four-point correlator as a Stieltjes moment problem, and use Riemann-Liouville type fractional differential operators to generate classical moments from the correlation function. We use crossing symmetry to derive leading and subleading relations between moments in $Δ$ and $J_2 \equiv \ell(\ell+d-2)$ in the ``heavy" limit of large external scaling dimension, and combine them with constraints from unitarity to der…

This https://arxiv.org/abs/2409.08740 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Another look at qualitative properties of eigenvalues using effective Hamiltonians
The goal of this paper is to review several qualitative properties of well-known eigenvalue problems using a different perspective based on the theory of effective Hamiltonians, working exclusively on the Hopf-Cole transform of the equation. We revisit some monotonicity results as well as the derivation of several scaling limits by means of the Donsker-Varadhan formula, and we point out several differences between the case of quadratic Hamiltonians and non-quadratic ones.

#lol

Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
Niklas Rasch, Lauriane Chomaz, Thomas Gasenzer
https://arxiv.org/abs/2506.01653

Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
The emergence of distinctly sub-diffusive scaling in the vicinity of an anomalous non-thermal fixed point is discussed in a quasi-two-dimensional dipolar Bose gas in the superfluid phase, carrying ensembles of vortices and antivortices with zero net angular momentum. The observed scaling behavior reflects coarsening dynamics driven by the mutual annihilation of vortices and antivortices, with the mean inter-defect distance growing algebraically over time as $\ell_\text{v}(t)\sim t^{\,β}$. A su…

A highly sensitive SF$_6$-based leak test system for JUNO 3-inch PMT underwater electronics boxes
Ziliang Chu, Diru Wu, Miao He, Jilei Xu, Xiaoping Jing, Jian Wang
https://arxiv.org/abs/2505.24142

A highly sensitive SF$_6$-based leak test system for JUNO 3-inch PMT underwater electronics boxes
A total of 25600 3-inch photomultiplier tubes (PMTs), along with their corresponding frontend electronics, have been installed at the Jiangmen Underground Neutrino Observatory (JUNO). These electronics are housed in 200 stainless steel boxes that operate underwater. To verify the sealing integrity of the underwater boxes following integration, we developed an SF$_6$-based leak test system, opting against the typical helium-based system due to helium's ability to penetrate the PMT glass. After a…

This https://arxiv.org/abs/2505.16093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
We study multiple chordal SLE$(κ)$ systems in a simply connected domain $Ω$, where $z_1, \ldots, z_n \in \partial Ω$ are boundary starting points, and $q \in \partial Ω$ is an additional marked boundary point. Based on the framework introduced in \cite{Dub07}, we show that the partition functions in the upper half-plane $\mathbb{H}$ satisfy both the null vector equations and a dilatation equation with scaling constant $d$. We show that the presence of the marked boundary point $q$ intro…

The full formula for the probability of "success" is:
p = {
1/(2^(-n 1)) if n is negative, or
1 - (1/(2^(n 1))) if n is zero or positive
}
(Both branches have the same value when n is 0, so the behavior is smooth around the origin.)
How can we tweak this?
First, we can introduce fixed success and/or failure chances unaffected by level, with this formula only taking effect if those don't apply. For example, you could do 10% failure, 80% by formula, and 10% success to keep things from being too sure either way even when levels are very high or low. On the other hand, this flattening makes the benefit of extra advantage levels even less exciting.
Second, we could allow for gradations of success/failure, and treat the coin pools I used to explain that math like dice pools a bit. An in-between could require linearly more success flips to achieve the next higher grade of success at each grade. For example, simple success on a crit role might mean dealing 1.5x damage, but if you succeed on 2 of your flips, you get 9/4 damage, or on 4 flips 27/8, or on 7 flips 81/16. In this world, stacking crit levels might be a viable build, and just giving up on armor would be super dangerous. In the particular case I was using this for just now, I can't easily do gradations of success (that's the reason I turned to probabilities in the first place) but I think I'd favor this approach when feasible.
The main innovation here over simple dice pools is how to handle situations where the number of dice should be negative. I'm almost certain it's not a truly novel innovation though, and some RPG fan can point out which system already does this (please actually do this, I'm an RPG nerd too at heart).
I'll leave this with one more tweak we could do: what if the number 2 in the probability equation were 3, or 2/3? I think this has a similar effect to just scaling all the modifiers a bit, but the algebra escapes me in this moment and I'm a bit lazy. In any case, reducing the base of the probability exponent should let you get a few more gradations near 50%, which is probably a good thing, since the default goes from 25% straight to 50% and then to 75% with no integer stops in between.

This https://arxiv.org/abs/2505.07655 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT
We employ the Fuzzy Sphere regulator to study the 3D Lee-Yang CFT. The model is defined by deforming the Ising model on the Fuzzy Sphere via a purely imaginary longitudinal magnetic field. This model undergoes a quantum phase transition, whose critical point we determine and identify with the 3D Lee-Yang CFT. We show how to tune the model and find that the lowest-lying states of the Hamiltonian align well with the expected CFT spectrum. We discuss the Fuzzy Sphere estimates for the scaling dime…