Narain CFTs from quantum codes and their Z2 gauging

Abstract

We investigate the gauging of a Z2 symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between Z2 gauging procedures and modifications of the momentum lattice by vectors characterizing the Z2 symmetry. We also provide three-dimensional interpretations of Z2 gaugings through abelian Chern-Simons theories, which act as symmetry topological field theories.

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