3d modularity

被引：58

作者：

Cheng, Miranda C. N. ^{[1
,2
,3
]}

Chun, Sungbong ^{[4
]}

Ferrari, Francesca ^{[3
,5
]}

Gukov, Sergei ^{[4
]}

Harrison, Sarah M. ^{[6
,7
]}

机构：

[1] Univ Amsterdam, Inst Phys, NL-1090 GE Amsterdam, Netherlands

[2] Univ Amsterdam, Korteweg de Vries Inst Math, NL-1090 GE Amsterdam, Netherlands

[3] Univ Amsterdam, Inst Phys, NL-1090 GL Amsterdam, Netherlands

[4] CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA

[5] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[6] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada

[7] McGill Univ, Dept Phys, Montreal, PQ, Canada

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 10期

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

Chern-Simons Theories; Conformal Field Theory; M-Theory; Nonperturbative Effects; FALSE THETA-FUNCTIONS; CONFORMAL FIELD-THEORIES; SMALL POSITIVE WEIGHT; CHERN-SIMONS THEORY; FOURIER COEFFICIENTS; QUANTUM INVARIANT; RADEMACHER SUMS; FORMS; REPRESENTATIONS; INTEGRALS;

D O I：

10.1007/JHEP10(2019)010

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N = 2 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, SL(2; Z) Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.

引用

页数：95

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