Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs

被引:2
作者
Gang, Dongmin [1 ]
Kim, Dongyeob
机构
[1] Seoul Natl Univ, Dept Phys & Astron, 1 Gwanak Ro, Seoul 08826, South Korea
基金
新加坡国家研究基金会;
关键词
Supersymmetric Gauge Theory; Topological Field Theories;
D O I
10.1007/JHEP03(2023)185
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
By applying the recently proposed (3D rank-0 N =4 SCFT)/(non-unitary TQFTs) correspondence to S-fold SCFTs, we construct an exotic class of non-unitary TQFTs labelled by an integer k =3. The SCFTs are obtained by gauging diagonal SU(2) subgroup of T[SU(2)] theory with Chern-Simons level k. We give the explicit expression for modular data, S and T matrices, of the TQFTs. When k = 4m(2) + 4m + 3 with an integer m = 1, the modular data (modulo a decoupled semion) is identical to a non-unitary Haagerup-Izumi modular data. Thus, we give a physical realization of the exotic non-unitary modular data as well as its generalization using an exotic class of SCFTs.
引用
收藏
页数:14
相关论文
共 37 条
[1]  
Asaeda M, 1999, COMMUN MATH PHYS, V202, P1, DOI 10.1007/s002200050574
[2]   Holographic duals of 3d S-fold CFTs [J].
Assel, Benjamin ;
Tomasiello, Alessandro .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (06)
[3]  
Bah I, 2024, Arxiv, DOI arXiv:2211.04467
[4]   Marginal operators and supersymmetry enhancement in 3d S-fold SCFTs [J].
Beratto, Emanuele ;
Mekareeya, Noppadol ;
Sacchi, Matteo .
JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (12)
[5]  
Cho GY, 2022, Arxiv, DOI arXiv:2210.03681
[6]   M-theoretic genesis of topological phases [J].
Cho, Gil Young ;
Gang, Dongmin ;
Kim, Hee-Cheol .
JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (11)
[7]  
Closset C, 2018, J HIGH ENERGY PHYS, DOI 10.1007/JHEP11(2018)004
[8]   Supersymmetric partition functions and the three-dimensional A-twist [J].
Closset, Cyril ;
Kim, Heeyeon ;
Willett, Brian .
JOURNAL OF HIGH ENERGY PHYSICS, 2017, (03)
[9]   Comments on twisted indices in 3d supersymmetric gauge theories [J].
Closset, Cyril ;
Kim, Heeyeon .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (08)
[10]  
Creutzig T., arXiv