Tootfinder

Wild Bootstrap Inference for Linear Regressions with Many Covariates
Wenze Li
https://arxiv.org/abs/2506.20972 https://arxiv.org/pdf/…

Wild Bootstrap Inference for Linear Regressions with Many Covariates
We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild bootstrap has excellent finite sample performance compared with alternative methods that are based on standard normal critical values, especially when the sample size is small and/or the number of controls is of the same order of magnitude as the sample size.

On polluted bootstrap percolation in Cartesian grids
Bo\v{s}tjan Bre\v{s}ar, Jaka Hed\v{z}et, Michael A. Henning
https://arxiv.org/abs/2506.18345 https://

On polluted bootstrap percolation in Cartesian grids
Given a graph $G$ and assuming that some vertices of $G$ are infected, the $r$-neighbor bootstrap percolation rule makes an uninfected vertex $v$ infected if $v$ has at least $r$ infected neighbors. The $r$-percolation number, $m(G, r)$, of $G$ is the minimum cardinality of a set of initially infected vertices in $G$ such that after continuously performing the $r$-neighbor bootstrap percolation rule each vertex of $G$ eventually becomes infected. In this paper, we continue the study of polluted…

Partitioned Wild Bootstrap for Panel Data Quantile Regression
Antonio F. Galvao, Carlos Lamarche, Thomas Parker
https://arxiv.org/abs/2507.18494 https://ar…

Partitioned Wild Bootstrap for Panel Data Quantile Regression
Practical inference procedures for quantile regression models of panel data have been a pervasive concern in empirical work, and can be especially challenging when the panel is observed over many time periods and temporal dependence needs to be taken into account. In this paper, we propose a new bootstrap method that applies random weighting to a partition of the data -- partition-invariant weights are used in the bootstrap data generating process -- to conduct statistical inference for conditi…

AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM
Bruno Fernandes, Vasco Goncalves, Zhongjie Huang, Yichao Tang, Joao Vilas Boas, Ellis Ye Yuan
https://arxiv.org/abs/2507.14124

AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM
We propose an AdS$\times$S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations, and implement it in the supergravity limit of $\mathcal{N}=4$ super Yang-Mills. By incorporating this mechanism into Mellin space bootstrap, together with an observed $Z_2$ symmetry under AdS$\ \leftrightarrow\ $S, we manage to simultaneously work out unified formulas both for all five-point half-BPS correlators and for all four-point correlators w…

Bootstrapping Flat-band Superconductors: Rigorous Lower Bounds on Superfluid Stiffness
Qiang Gao, Zhaoyu Han, Eslam Khalaf
https://arxiv.org/abs/2506.18969

Bootstrapping Flat-band Superconductors: Rigorous Lower Bounds on Superfluid Stiffness
The superfluid stiffness fundamentally constrains the transition temperature of superconductors, especially in the strongly coupled regime. However, accurately determining this inherently quantum many-body property in microscopic models remains a significant challenge. In this work, we show how the \textit{quantum many-body bootstrap} framework, specifically the reduced density matrix (RDM) bootstrap, can be leveraged to obtain rigorous lower bounds on the superfluid stiffness in frustration fr…

Bootstrap prediction intervals for the age distribution of life-table death counts
Han Lin Shang
https://arxiv.org/abs/2507.11946 https://

Bootstrap prediction intervals for the age distribution of life-table death counts
We introduce a nonparametric bootstrap procedure based on a dynamic factor model to construct pointwise prediction intervals for period life-table death counts. The age distribution of death counts is an example of constrained data, which are nonnegative and have a constrained integral. A centered log-ratio transformation is used to remove the constraints. With a time series of unconstrained data, we introduce our bootstrap method to construct prediction intervals, thereby quantifying forecast …

Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory
Fabio Sailis, Olalla A. Castro-Alvaredo, Stefano Negro
https://arxiv.org/abs/2506.20517

Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory
In this paper, we present a method to compute the minimal form factors of diagonal integrable field theories perturbed by generalized $T \bar{T}$ perturbations. Building on existing results by the same authors, these MFFs are constructed in such a way as not to allow for any free parameters, an issue that plagued previous solutions. The MFFs are derived from a generalization of the standard integral representation which has been used since the birth of the form factor bootstrap program. Their a…

Replaced article(s) found for math.ST. https://arxiv.org/list/math.ST/new
[1/1]:
- Bootstrap-based tests for the total time on test and the excess wealth orders
Tommaso Lando, Sirio Legramanti

Optimal Debiased Inference on Privatized Data via Indirect Estimation and Parametric Bootstrap
Zhanyu Wang, Arin Chang, Jordan Awan
https://arxiv.org/abs/2507.10746

Optimal Debiased Inference on Privatized Data via Indirect Estimation and Parametric Bootstrap
We design a debiased parametric bootstrap framework for statistical inference from differentially private data. Existing usage of the parametric bootstrap on privatized data ignored or avoided handling the effect of clamping, a technique employed by the majority of privacy mechanisms. Ignoring the impact of clamping often leads to under-coverage of confidence intervals and miscalibrated type I errors of hypothesis tests. The main reason for the failure of the existing methods is the inconsisten…

Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT
Matteo Peron, Takahiro Nishimichi, Massimo Pietroni, Atsushi Taruya
https://arxiv.org/abs/2506.07105 …

Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT
We present a first step toward field-level cosmological inference beyond the standard $Λ$CDM model, focusing on optimizing precision tests in the nonlinear regime of large-scale structure (LSS). As an illustrative case, we study the model-independent ``bootstrap'' coefficient of the second-order perturbation theory (PT) kernel for matter in real space, which we use as a proxy for new physics effects in the nonlinear sector. We discuss in details the ultraviolet (UV) cutoff dependence induced b…

Training teachers with Bootstrap for the first time on Zoom, and holy crap is the breakout rooms feature so broken. SO bad, I can barely keep track of how many problems it has. Do they never dogfood it? Please stop pouring AI over it, just fix the basic functionality!

Bispectrum Islands
Claudia de Rham, Sadra Jazayeri, Andrew J. Tolley
https://arxiv.org/abs/2506.19198 https://arxiv.org/pdf/2506.1919…

Bispectrum Islands
Inspired by the amplitude bootstrap program, the spirit of this work is to constrain the space of consistent inflationary correlation functions - specifically, the bispectrum of curvature perturbations - using fundamental principles such as unitarity, locality, analyticity, and symmetries. To this end, we assume a setup for inflation in which de Sitter isometries are only mildly broken by the slow roll of the inflaton field, and study the bispectrum imprinted by a generic hidden sector during i…

Bootstrap Current Modeling in M3D-C1
Saurabh Saxena, Nathaniel Ferraro, Mike F. Martin, Adelle M. Wright
https://arxiv.org/abs/2507.05166 https://

Bootstrap Current Modeling in M3D-C1
Bootstrap current plays a crucial role in the equilibrium of magnetically confined plasmas, particularly in quasisymmetric (QS) stellarators and in tokamaks, where it can represent bulk of the electric current density. Accurate modeling of this current is essential for understanding the magnetohydrodynamic (MHD) equilibrium and stability of these configurations. This study expands the modeling capabilities of M3D-C1, an extended-MHD code, by implementing self-consistent physics models for boots…

{ggdist}: Visualizations of distributions and uncertainty #rstats #ggplot

Majority bootstrap percolation on the permutahedron and other high-dimensional graphs
Maur\'icio Collares, Joshua Erde, Anna Geisler, Mihyun Kang
https://arxiv.org/abs/2507.06597

Majority bootstrap percolation on the permutahedron and other high-dimensional graphs
Majority bootstrap percolation is a model of infection spreading in networks. Starting with a set of initially infected vertices, new vertices become infected once half of their neighbours are infected. Balogh, Bollobás and Morris studied this process on the hypercube and showed that there is a phase transition as the density of the initially infected set increases. Generalising their results to a broad class of high-dimensional graphs, the authors of this work established similar bounds on th…

Testing Against Tree Ordered Alternatives in One-way ANOVA
Subha Halder, Anjana Mondal, Somesh Kumar
https://arxiv.org/abs/2507.17229 https://arxiv.org/pdf…

Testing Against Tree Ordered Alternatives in One-way ANOVA
The likelihood ratio test against a tree ordered alternative in one-way heteroscedastic ANOVA is considered for the first time. Bootstrap is used to implement this and two multiple comparisons based tests and shown to have very good size and power performance. In this paper, the problem of testing the homogeneity of mean effects against the tree ordered alternative is considered in the heteroscedastic one-way ANOVA model. The likelihood ratio test and two multiple comparison-based tests - nam…

Ok #Fediverse: if I was keen to bootstrap an Aotearoa-based tech services #cooperative, what coop models would people suggest I look at - looking for good descriptions of how they'd be set up, especially to recognise the contributions of those involved. All insights appreciated! I'…

A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in $\RR^{3 1}$
Yue Ma, Weidong Zhang
https://arxiv.org/abs/2507.12285

A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in $\RR^{3+1}$
This paper establishes the global existence of solutions for a class of wave-Klein-Gordon coupled systems with specific nonlinearities in 3+1-dimensional Minkowski spacetime. The study demonstrates that imposing certain constraints on the coefficients of these specific nonlinear terms induces a damping effect within the system, which is crucial for proving the global existence of solutions. The proof is conducted within the framework of a bootstrap argument, primarily employing the hyperboloida…

100-Day Analysis of USD/IDR Exchange Rate Dynamics Around the 2025 U.S. Presidential Inauguration
Sandy H. S. Herho, Siti N. Kaban, Cahya Nugraha
https://arxiv.org/abs/2506.18738 …

100-Day Analysis of USD/IDR Exchange Rate Dynamics Around the 2025 U.S. Presidential Inauguration
Using a 100-day symmetric window around the January 2025 U.S. presidential inauguration, non-parametric statistical methods with bootstrap resampling (10,000 iterations) analyze distributional properties and anomalies. Results indicate a statistically significant 3.61\% Indonesian rupiah depreciation post-inauguration, with a large effect size (Cliff's Delta $= -0.9224$, CI: $[-0.9727, -0.8571]$). Central tendency shifted markedly, yet volatility remained stable (variance ratio $= 0.9061$, $p =…

Redundancy Channels in the Conformal Bootstrap
Stefanos R. Kousvos, Andreas Stergiou
https://arxiv.org/abs/2507.05338 https://arxiv.o…

Redundancy Channels in the Conformal Bootstrap
A method for obstructing symmetry enhancement in numerical conformal bootstrap calculations is proposed. Symmetry enhancement refers to situations where bootstrap studies initialised with a certain symmetry end up allowing theories with higher symmetry. In such cases, it is shown that redundant operators in the less symmetric theory can descend from primary scaling operators of the more symmetric one, motivating the imposition of spectral gaps that are justified in the former but not the latter…

Classification of Extremal Dependence in Financial Markets via Bootstrap Inference
Qian Hui, Sidney I. Resnick, Tiandong Wang
https://arxiv.org/abs/2506.04656

Classification of Extremal Dependence in Financial Markets via Bootstrap Inference
Accurately identifying the extremal dependence structure in multivariate heavy-tailed data is a fundamental yet challenging task, particularly in financial applications. Following a recently proposed bootstrap-based testing procedure, we apply the methodology to absolute log returns of U.S. S&P 500 and Chinese A-share stocks over a time period well before the U.S. election in 2024. The procedure reveals more isolated clustering of dependent assets in the U.S. economy compared with China which e…

Convergence of linear programming hierarchies for Gibbs states of spin systems
Hamza Fawzi, Omar Fawzi
https://arxiv.org/abs/2506.06125 https://

Convergence of linear programming hierarchies for Gibbs states of spin systems
We consider the problem of computing expectation values of local functions under the Gibbs distribution of a spin system. In particular, we study two families of linear programming hierarchies for this problem. The first hierarchy imposes local spin flip equalities and has been considered in the bootstrap literature in high energy physics. For this hierarchy, we prove fast convergence under a spatial mixing (decay of correlations) condition. This condition is satisfied for example above the cri…

Comment on "Redundancy Channels in the Conformal Bootstrap" by S. R. Kousvos and A. Stergiou
Slava Rychkov
https://arxiv.org/abs/2507.13070 https…

Comment on "Redundancy Channels in the Conformal Bootstrap" by S. R. Kousvos and A. Stergiou
Recent work by Kousvos and Stergiou criticises our work with Zhong Ming Tan [arXiv:1505.00963]. The issue is CFT scaling dimension computations in perturbative Renormalization Group. We identified operators whose correlation functions differ by contact terms. This is allowed because CFT only describes correlation functions away from coincident points. They instead renormalize the contact terms, which are eventually dropped. Our way is not only correct, but preferable as it operates with the min…

Joint semi-parametric INAR bootstrap inference for model coefficients and innovation distribution
Maxime Faymonville, Carsten Jentsch
https://arxiv.org/abs/2507.11124

Joint semi-parametric INAR bootstrap inference for model coefficients and innovation distribution
For modeling the serial dependence in time series of counts, various approaches have been proposed in the literature. In particular, models based on a recursive, autoregressive-type structure such as the well-known integer-valued autoregressive (INAR) models are very popular in practice. The distribution of such INAR models is fully determined by a vector of autoregressive binomial thinning coefficients and the discrete innovation distribution. While fully parametric estimation techniques for t…

The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
Mitchell Woolley
https://arxiv.org/abs/2506.08094 https://arxi…

The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
6d (2,0) SCFTs of type $\mathfrak{g}$ have protected subsectors that were conjectured in arxiv:1404.1079 to be captured by $\mathcal{W}_\mathfrak{g}$ algebras. We write down the crossing equations for mixed four-point functions $\langle S_{k_1} S_{k_2}S_{k_3}S_{k_4}\rangle$ of 1/2-BPS operators $S_{k_i}$ in 6d (2,0) theories and detail how a certain twist reduces this system to a 2d meromorphic CFT multi-correlator bootstrap problem. We identify the relevant 6d (2,0) $\mathcal{W}$-algebras of t…

This https://arxiv.org/abs/2504.08435 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

High-dimensional Gaussian and bootstrap approximations for robust means
Recent years have witnessed much progress on Gaussian and bootstrap approximations to the distribution of max-type statistics of sums of independent random vectors with dimension $d$ large relative to the sample size $n$. However, for any number of moments $m>2$ that the summands may possess, there exist distributions such that these approximations break down if $d$ grows faster than $n^{\frac{m}{2}-1}$. In this paper, we establish Gaussian and bootstrap approximations to the distributions of w…

The analytic bootstrap at finite temperature
Julien Barrat, Deniz N. Bozkurt, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni
https://arxiv.org/abs/2506.06422

The analytic bootstrap at finite temperature
We propose new universal formulae for thermal two-point functions of scalar operators based on their analytic structure, constructed to manifestly satisfy all the bootstrap conditions. We derive a dispersion relation in the complexified time plane, which fixes the correlator up to an additive constant and theory-dependent dynamical information. At non-zero spatial separation we introduce a formula for the thermal two-point function obtained by summing over images of the dispersion relation resu…

Bayesian Bootstrap-based Gaussian Copula Model for Mixed Data with High Missing Rates
Seongmin Kim, Jeunghun Oh, Hungkuk Ko, Jeongmin Park, Jaeyong Lee
https://arxiv.org/abs/2507.06785

Bayesian Bootstrap-based Gaussian Copula Model for Mixed Data with High Missing Rates
Missing data is a common issue in various fields such as medicine, social sciences, and natural sciences, and it poses significant challenges for accurate statistical analysis. Although numerous imputation methods have been proposed to address this issue, many of them fail to adequately capture the complex dependency structure among variables. To overcome this limitation, models based on the Gaussian copula framework have been introduced. However, most existing copula-based approaches do not ac…

This https://arxiv.org/abs/2410.08948 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMA_…

Emergent social conventions and collective bias in LLM populations
Social conventions are the backbone of social coordination, shaping how individuals form a group. As growing populations of artificial intelligence (AI) agents communicate through natural language, a fundamental question is whether they can bootstrap the foundations of a society. Here, we present experimental results that demonstrate the spontaneous emergence of universally adopted social conventions in decentralized populations of large language model (LLM) agents. We then show how strong coll…

From Bjorken Scaling to Scaling Violations
Giorgio Parisi
https://arxiv.org/abs/2506.03383 https://arxiv.org/pdf/2506.03383

From Bjorken Scaling to Scaling Violations
This paper traces the historical and conceptual journey from Bjorken scaling to the discovery of scaling violations in deep inelastic scattering, culminating in the development of Quantum Chromodynamics (QCD). Beginning with the challenges faced by early strong interaction theories in the 1950s, we explore the emergence of agnostic approaches such as the bootstrap philosophy and current algebra, which sought to describe hadronic phenomena without relying on specific field theories. The pivotal …

Deep Hedging to Manage Tail Risk
Yuming Ma
https://arxiv.org/abs/2506.22611 https://arxiv.org/pdf/2506.22611

Deep Hedging to Manage Tail Risk
Extending Buehler et al.'s 2019 Deep Hedging paradigm, we innovatively employ deep neural networks to parameterize convex-risk minimization (CVaR/ES) for the portfolio tail-risk hedging problem. Through comprehensive numerical experiments on crisis-era bootstrap market simulators -- customizable with transaction costs, risk budgets, liquidity constraints, and market impact -- our end-to-end framework not only achieves significant one-day 99% CVaR reduction but also yields practical insights int…

Holomorphic bootstrap for RCFT: signs and bounds for quasi-characters
Arpit Das, Sunil Mukhi
https://arxiv.org/abs/2507.07170 https://

Holomorphic bootstrap for RCFT: signs and bounds for quasi-characters
Quasi-characters are solutions of simple modular differential equations that form an explicit basis for the space of all admissible characters that can potentially describe rational CFT. They were classified for rank-$2$ in arXiv:1810.09472 [hep-th], where it was conjectured that their $q$-series has coefficients of alternating sign that stabilise to a fixed sign at order $\frac{c}{12}$ and sometimes undergo more exotic behaviour -- where $c$ is the central charge. Here we prove some of these c…

Transform-Resampled Double Bootstrap Percentile with Applications in System Reliability Assessment
Junpeng Gong, Xu He, Zhaohui Li
https://arxiv.org/abs/2506.04573

Transform-Resampled Double Bootstrap Percentile with Applications in System Reliability Assessment
System reliability assessment(SRA) is a challenging task due to the limited experimental data and the complex nature of the system structures. Despite a long history dating back to \cite{buehler1957confidence}, exact methods have only been applied to SRA for simple systems. High-order asymptotic methods, such as the Cornish-Fisher expansion, have become popular for balancing computational efficiency with improved accuracy when data are limited, but frequently encounter the "bend-back" problem i…

A universal W-algebra for N=4 super Yang-Mills
Federico Bonetti, Carlo Meneghelli
https://arxiv.org/abs/2506.15678 https://arxiv.org/…

A universal W-algebra for N=4 super Yang-Mills
Using bootstrap methods, we provide evidence for the existence of a non-linear W-algebra, denoted $W_\infty^\text{s,s}$, which contains the small N= 4 super Virasoro algebra and features an infinite tower of additional generators, organized in short supersymmetry multiplets. The algebra $W_\infty^\text{s,s}$ has one free parameter, its central charge c. We claim that the simple quotient of $W_\infty^\text{s,s}$ for c= -3(N^2-1) is isomorphic to the vertex operator algebra associated to 4d N=4 $…

An Algebraic Theory of Gapped Domain Wall Partons
Matthew Buican, Roman Geiko, Milo Moses, Bowen Shi
https://arxiv.org/abs/2506.22544 https://

An Algebraic Theory of Gapped Domain Wall Partons
The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions. Most fundamental among these are the so-called "parton" quantum numbers, which give rise to a zoo of composite sectors. In this note, we propose a categorical description of partons. Along the way, we make contact with ideas from generalized symmetries and SymTFT.

$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Joao Vilas Boas
https://arxiv.org/abs/2507.12533 https://

$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
We setup a bootstrap approach to compute the first stringy correction to the supergravity regime of the correlation function of five $20'$ operators in $\mathcal{N}=4$ super Yang-Mills. We use factorization of Mellin amplitudes and supersymmetric constraints to fix almost completely our ansatz. The two last coefficients are fixed by a justified mild assumption based on the flat-space limit of the Mellin amplitude. As a byproduct of our analysis, we also compute the first stringy correction to t…

Primal S-matrix bootstrap with dispersion relations
Claudia de Rham, Andrew J. Tolley, Zhuo-Hui Wang, Shuang-Yong Zhou
https://arxiv.org/abs/2506.22546 htt…

Primal S-matrix bootstrap with dispersion relations
We propose a new method for constructing the consistent space of scattering amplitudes by parameterizing the imaginary parts of partial waves and utilizing dispersion relations, crossing symmetry, and full unitarity. Using this framework, we explicitly compute bounds on the leading couplings and examine the Regge behaviors of the constructed amplitudes. The method also readily accommodates spinning bound states, which we use to constrain glueball couplings. By incorporating dispersion relations…

Bootstrapping periodic quantum systems
Zhijian Huang, Wenliang Li
https://arxiv.org/abs/2507.02386 https://arxiv.org/pdf/2507.02386…

Bootstrapping periodic quantum systems
Periodic structures are ubiquitous in quantum many-body systems and quantum field theories, ranging from lattice models, compact spaces, to topological phenomena. However, previous bootstrap studies encountered technical challenges even for one-body periodic problems, such as a failure in determining the accurate dispersion relations for Bloch bands. In this work, we develop a new bootstrap procedure to resolve these issues, which does not make use of positivity constraints. We mainly consider …

Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
Song He, Xiang Li, Jingwen Lin, Jiahao Liu, Kai Yan
https://arxiv.org/abs/2506.07796 htt…

Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
We propose a bootstrap program for the {\it form factor squared} with operator ${\rm tr}(ϕ^2)$ in maximally supersymmetric Yang-Mills theory in the planar limit, which plays a central role for perturbative calculations of important physical observables such as energy correlators. The tree-level $N$-point form factor (FF) squared can be obtained by cutting $N$ propagators of a collection of two-point ``master diagrams" at $(N{-}1)$ loops: for $N=3,4,5,6$ there are merely $1, 2, 4, 13$ topologie…

Simultaneous Sieve Estimation and Inference for Time-Varying Nonlinear Time Series Regression
Xiucai Ding, Zhou Zhou
https://arxiv.org/abs/2506.23069 https…

Simultaneous Sieve Estimation and Inference for Time-Varying Nonlinear Time Series Regression
In this paper, we investigate time-varying nonlinear time series regression for a broad class of locally stationary time series. First, we propose sieve nonparametric estimators for the time-varying regression functions that achieve uniform consistency. Second, we develop a unified simultaneous inferential theory to conduct both structural and exact form tests on these functions. Additionally, we introduce a multiplier bootstrap procedure for practical implementation. Our methodology and theory…

Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect
Konstantinos C. Rigatos
https://arxiv.org/abs/2506.09132 https://

Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect
We revisit the computation of $2$-point correlation functions of $\tfrac{1}{2}$-BPS operators in the $6$d, $\mathcal{N}=(2,0)$ theory in the presence of a surface defect. We focus on the protected sector described by the chiral algebra and reproduce its correlators using a bootstrap approach. A unique feature of this calculation is that we can completely determine the answer by using bulk-channel data only. We, also, perform the operator expansion in the defect channel which provide new predict…

Bootstrapping the Simplest Deconfined Quantum Critical Point
Shai M. Chester, Alessandro Piazza, Marten Reehorst, Ning Su
https://arxiv.org/abs/2507.06283 …

Bootstrapping the Simplest Deconfined Quantum Critical Point
We study the $N=3$ case of the $CP^{N-1}$ model, which is a field theory of $N$ complex scalars in $3d$ coupled to an Abelian gauge field with $SU(N) \times U(1)$ global symmetry. Recent evidence suggests the $N=2$ theory is not critical, which makes the $N=3$ theory the simplest possibility of deconfined quantum criticality. We apply the conformal bootstrap to correlators of charge $q=0,1,2$ scalar operators under the $U(1)$ symmetry, which gives us access also to $q=3,4$ operators. After impo…

Coulomb Branch and Integrability
Frank Coronado, Shota Komatsu, Konstantin Zarembo
https://arxiv.org/abs/2506.07222 https://arxiv.org…

Coulomb Branch and Integrability
We study one-point functions of non-BPS single-trace operators on the Coulomb branch of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holography relates them to overlaps between on-shell closed string states and a boundary state describing a probe D3-brane in $AdS_5\times S^{5}$. Assuming that the D-brane preserves integrability, we formulate and solve integrable bootstrap equations satisfied by the boundary state at finite 't Hooft coupling. This leads to a closed-form determinant e…

Splitting Regions and Shrinking Islands from Higher Point Constraints
Justin Berman, Henriette Elvang, Carolina Figueiredo
https://arxiv.org/abs/2506.22538

Splitting Regions and Shrinking Islands from Higher Point Constraints
We study constraints from higher-point amplitudes on $2 \to 2$ scattering in the context of effective field theory (EFT) using the perturbative numerical S-matrix bootstrap. Specifically, we investigate the class of weakly coupled EFTs with amplitudes that obey the hidden zero and split conditions that are known to hold both for Tr($Φ^3$) theory and for certain string tree amplitudes, including at 4-point the beta function. Requiring the splitting condition for the 5-point amplitude not only f…