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Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging

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arxiv 2308.01579 v4 pith:RX2ZUYBB submitted 2023-08-03 hep-th quant-ph

Kohki Kawabata , Tatsuma Nishioka , Takuya Okuda This is my paper · ORCID
classification hep-thquant-ph
keywords mathbbgaugingsymmetrytheoriescftscodesfieldnarain
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abstract

We investigate the gauging of a $\mathbb{Z}_2$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $\mathbb{Z}_2$ gauging procedures and modifications of the momentum lattice by vectors characterizing the $\mathbb{Z}_2$ symmetry. We also provide three-dimensional interpretations of $\mathbb{Z}_2$ gaugings through abelian Chern-Simons theories, which act as symmetry topological field theories.

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  1. Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

    hep-th 2025-02 conditional novelty 6.0 of 10

    Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersy...

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