Averaging over codes and an SU(2) modular bootstrap

IF 5 1区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS

Journal of High Energy Physics Pub Date : 2023-11-07 DOI:10.1007/jhep11(2023)035

Johan Henriksson, Brian McPeak

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引用次数: 0

Abstract

A bstract Error-correcting codes are known to define chiral 2d lattice CFTs where all the U(1) symmetries are enhanced to SU(2). In this paper, we extend this construction to a broader class of length- n codes which define full (non-chiral) CFTs with SU(2) n symmetry, where n = c + $$ \overline{c} $$ c ¯ . We show that codes give a natural discrete ensemble of 2d theories in which one can compute averaged observables. The partition functions obtained from averaging over all codes weighted equally is found to be given by the sum over modular images of the vacuum character of the full extended symmetry group, and in this case the number of modular images is finite. This averaged partition function has a large gap, scaling linearly with n , in primaries of the full SU(2) n symmetry group. Using the sum over modular images, we conjecture the form of the genus-2 partition function. This exhibits the connected contributions to disconnected boundaries characteristic of wormhole solutions in a bulk dual.

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平均代码和一个SU(2)模引导

一个抽象的纠错码定义了所有U(1)对称性增强为SU(2)对称性的手性二维晶格cft。在本文中，我们将这种构造扩展到更广泛的长度为- n的编码，它定义了SU(2) n对称的完整(非手性)cft，其中n = c + $$ \overline{c} $$ c¯。我们证明代码给出了二维理论的自然离散集合，其中可以计算平均观测值。对所有码进行加权平均得到的配分函数是由满扩展对称群的真空特征的模像和给出的，在这种情况下模像的个数是有限的。该平均配分函数在全SU(2) n对称群的原色中具有很大的间隙，与n线性缩放。利用模像的和，我们推测了属2配分函数的形式。这显示了虫洞解在块状对偶体中对非连通边界的连通贡献。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

10.00

自引率

46.30%

发文量

2107

审稿时长

12 weeks

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).