Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging
High Energy Physics - Theory
2024-05-03 v4 Quantum Physics
Abstract
We investigate the gauging of a symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between gauging procedures and modifications of the momentum lattice by vectors characterizing the symmetry. We also provide three-dimensional interpretations of gaugings through abelian Chern-Simons theories, which act as symmetry topological field theories.
Cite
@article{arxiv.2308.01579,
title = {Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging},
author = {Kohki Kawabata and Tatsuma Nishioka and Takuya Okuda},
journal= {arXiv preprint arXiv:2308.01579},
year = {2024}
}
Comments
61 pages, 8 figures; v2: addition and minor correction in section 5, references added; v3: minor change; v4: published version