Related papers: Narain CFTs from quantum codes and their $\mathbb{Z}

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

URL: http://arxiv.org/abs/2308.01579v4
Date: Thu, 2 May 2024 10:22:14 GMT
Title: Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging
Authors: Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda,
Abstract summary: We investigate the gauging of a $mathbbZ$ symmetry in Narain conformal field theories constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $mathbbZ$ gauging procedures and modifications of the momentum lattice.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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