来自广义S-fold超共形场论的非幺正类Haagerup拓扑量子场论与有理共形场论
Non-unitary Haagerup-like TQFTs and RCFTs from generalized S-fold SCFTs
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中文总结 AI 辅助
该研究在Gang等人前期工作基础上，通过对广义S-fold SCFT施加拓扑扭转拓展非幺正TQFT与RCFT类别，利用体-边界对应关联二者，给出部分族的相关矩阵表达式，特定成员模矩阵经伽罗瓦共轭后匹配广义Haagerup-Izumi模矩阵。
中文摘要 AI 辅助
在Gang、Kim和Lee早期工作的基础上，我们拓展了已知的三维非幺正拓扑量子场论（TQFT）和二维非幺正有理共形场论（RCFT）的类别。这些TQFT通过对广义S-fold超共形场论（SCFT）施加拓扑扭转得到，它们通过体-边界对应关系与RCFT相关联。对于某些族，我们在TQFT中提出了简单线，以及其相关边界RCFT的特征标和模S矩阵的表达式；对于更广泛的族，我们提出了TQFT的模S矩阵和T矩阵。对于该族的特定成员，所得模矩阵经伽罗瓦共轭后与广义Haagerup-Izumi模矩阵一致。
英文摘要
Building on earlier work by Gang, Kim, and Lee, we extend the known class of 3-dimensional non-unitary topological quantum field theories (TQFTs) and 2-dimensional non-unitary rational conformal field theories (RCFTs). The TQFTs are obtained by applying topological twist to generalized S-fold superconformal field theories (SCFTs). They are related to the RCFTs through the bulk-boundary correspondence. For certain families, we propose simple lines in the TQFTs, together with expressions for the characters and modular $S$ matrices of their associated boundary RCFTs. For broader family, we propose modular $S$ and $T$ matrices for the TQFTs. For particular members of this family, the resulting modular matrices are identified with the generalized Haagerup-Izumi modular matrices up to Galois conjugation.
