论文标题

来自3D S折SCFTS的广义非单身haagerup-izumi模块化数据

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

论文作者

Gang, Dongmin, Kim, Dongyeob

论文摘要

通过应用最近提出的(3D Rank-0 $ \ Mathcal {n} $ = 4 scft)/(非单身TQFTS)与S折SCFTS的对应关系,我们构建了由Integer $ k \ egeq 3 $标记的异国情调的非自在的TQFTS。 SCFT是通过测量$ t [su(2)] $ Theory和Chern-Simons级别$ k $的对角线$ su(2)$ subgroup获得的。我们给出了TQFTS的模块化数据,$ s $和$ t $矩阵的明确表达。当$ k = 4m^2+4m+3 $带有整数$ m \ geq 1 $时,模块化数据(模拟半耦合半耦合半)与非独立的haagerup-izumi模块化数据相同。因此,我们使用异国情调的SCFT进行了异国情调的非单身模块数据及其概括的物理认识。

By applying the recently proposed (3D rank-0 $\mathcal{N}$=4 SCFT)/(non-unitary TQFTs) correspondence to S-fold SCFTs, we construct an exotic class of non-unitary TQFTs labelled by an integer $k\geq 3$. 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 $m\geq 1$, 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.

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