A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs

被引：1

作者：

Gang, Dongmin ^{[1
,2
]}

Kim, Dongyeob ^{[1
,2
,3
]}

Lee, Sungjay ^{[4
]}

机构：

[1] Seoul Natl Univ, Dept Phys & Astron, 1 Gwanak Ro, Seoul 08826, South Korea

[2] Seoul Natl Univ, Ctr Theoret Phys, 1 Gwanak, Seoul 08826, South Korea

[3] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[4] Korea Inst Adv Study, 85 Hoegiro, Seoul 02455, South Korea

来源：

SCIPOST PHYSICS | 2024年 / 17卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

CONFORMAL FIELD-THEORY; CHERN-SIMONS THEORY; QUANTUM; REPRESENTATIONS;

D O I：

10.21468/SciPostPhys.17.2.064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a novel class of two-dimensional non-unitary rational conformal field theories (RCFTs) whose modular data are identical to the generalized Haagerup-Izumi modular data. Via the bulk-boundary correspondence, they are related to the threedimensional non-unitary Haagerup topological field theories, recently constructed by a topological twisting of three-dimensional N = 4 rank-zero superconformal field theories (SCFTs), called S-fold SCFTs. We propose that, up to the overall factors, the half-indices of the rank-zero SCFTs give the explicit Nahm representation of four conformal characters of the RCFTs including the vacuum character. Using the theory of Bantay-Gannon, we can successfully complete them into the full admissible conformal characters of the RCFTs.

引用

页数：39