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arXiv · 2608.11946

Non-unitary Haagerup-like TQFTs and RCFTs from generalized S-fold SCFTs

Kibok Jeong·Huijoon Sohn
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Abstract

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.

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Kibok Jeong, Huijoon Sohn. 2026-08-12. Non-unitary Haagerup-like TQFTs and RCFTs from generalized S-fold SCFTs. https://arxiv.org/abs/2608.11946

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