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arXiv · 2308.01579

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

Kohki Kawabata·Tatsuma Nishioka·Takuya Okuda
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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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Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda. 2023-08-03. Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging. https://arxiv.org/abs/2308.01579

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