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arXiv:2308.01579 · Journal of High Energy Physics

Narain CFTs from quantum codes and their $${\mathbb{Z}}_{2}$$ gauging

Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda

Published May 13, 2024• 14 citations
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Abstract

A bstract 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.

DOI
10.1007/jhep05(2024)133

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