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相关论文: Snowmass White Paper: The Numerical Conformal Boot…

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The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity, and other general principles. In the last decade, bolstered…

高能物理 - 理论 · 物理学 2022-02-23 Thomas Hartman , Dalimil Mazac , David Simmons-Duffin , Alexander Zhiboedov

The numerical conformal bootstrap has become in the last 15 years an indispensable tool for studying strongly coupled CFTs in various dimensions. Here we review the main developments in the field in the last 5 years, since the appearance of…

高能物理 - 理论 · 物理学 2025-10-31 Slava Rychkov , Ning Su

This paper explores the numerical conformal bootstrap in general spacetime dimensions through the lens of a distinct category of analytic functionals, previously employed in two-dimensional studies. We extend the application of these…

高能物理 - 理论 · 物理学 2024-08-30 Kausik Ghosh , Zechuan Zheng

This is a Snowmass whitepaper on physical mathematics. It briefly summarizes and highlights some of the key questions drawn from a much more extensive essay, by the same authors, entitled, "A Panorama Of Physical Mathematics 2021."

高能物理 - 理论 · 物理学 2022-03-11 Ibrahima Bah , Daniel Freed , Gregory W. Moore , Nikita Nekrasov , Shlomo S. Razamat , Sakura Schäfer-Nameki

We apply recently constructed functional bases to the numerical conformal bootstrap for 1D CFTs. We argue and show that numerical results in this basis converge much faster than the traditional derivative basis. In particular, truncations…

高能物理 - 理论 · 物理学 2020-02-17 Miguel F. Paulos , Bernardo Zan

We attempt to give a broad conceptual overview of modern quantum field theory, highlighting important recent developments. This report serves as the TF03 topical group summary for Snowmass 2021.

高能物理 - 理论 · 物理学 2023-01-30 David Poland , Leonardo Rastelli

Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same…

高能物理 - 理论 · 物理学 2019-04-18 David Poland , Slava Rychkov , Alessandro Vichi

We present a low entry-level introduction to the Conformal Bootstrap. We review and obtain several basic bounds using Linear Programming in machine precision in Mathematica, making the results accessible even to the most uneducated computer…

高能物理 - 理论 · 物理学 2017-09-07 António Antunes

This paper surveys some selected topics in the theory of conformal metrics and their connections to complex analysis, partial differential equations and conformal differential geometry.

复变函数 · 数学 2008-05-16 Daniela Kraus , Oliver Roth

Conformal prediction is widely used to equip black-box machine learning models with uncertainty quantification, offering formal coverage guarantees under exchangeable data. However, these guarantees fail when faced with subpopulation…

机器学习 · 计算机科学 2025-11-10 Nien-Shao Wang , Duygu Nur Yaldiz , Yavuz Faruk Bakman , Sai Praneeth Karimireddy

We use the numerical conformal bootstrap to study six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories with flavor symmetry $\mathfrak{so}_{4k}$. We present evidence that minimal $(D_k, D_k)$ conformal matter saturates the…

高能物理 - 理论 · 物理学 2022-02-23 Florent Baume , Craig Lawrie

We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an implementation of Dantzig's simplex method capable of handling arbitrary precision linear…

高能物理 - 理论 · 物理学 2014-12-16 Miguel F. Paulos

Motivated by the Model-Based Design process for Cyber-Physical Systems, we consider issues in conformance testing of systems. Conformance is a quantitative notion of similarity between the output trajectories of systems, which considers…

系统与控制 · 计算机科学 2015-11-19 Houssam Abbas , Georgios Fainekos

This is an informal note on the complex-analytic approach to the theory of conformal blocks for rational VOAs. Its main body was completed in November 2020.

量子代数 · 数学 2026-05-19 Bin Gui

In this note we report an improved determination of the scaling dimensions and OPE coefficients of the minimal supersymmetric extension of the 3d Ising model using the conformal bootstrap. We also show how this data can be used as input to…

高能物理 - 理论 · 物理学 2022-10-04 Alexander Atanasov , Aaron Hillman , David Poland , Junchen Rong , Ning Su
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