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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Acknowledgments
We are grateful to S. Möller, Y. Moriwaki and H.Wada for valuable discussions. The work of T. N. was supported in part by the JSPS Grant-in-Aid for Scientific Research (C) No. 19K03863, Grant-in-Aid for Scientific Research (A) No. 21H04469, and Grant-in-Aid for Transformative Research Areas (A) “Extreme Universe” No. 21H05182 and No. 21H05190. The work of T. O. was supported in part by Grant-in-Aid for Transformative Research Areas (A) “Extreme Universe” No. 21H05190. The work of K. K. was supported by FoPM, WINGS Program, the University of Tokyo and JSPS KAKENHI Grant-in-Aid for JSPS fellows Grant No. 23KJ0436.
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Kawabata, K., Nishioka, T. & Okuda, T. Narain CFTs from quantum codes and their \({\mathbb{Z}}_{2}\) gauging. J. High Energ. Phys. 2024, 133 (2024). https://doi.org/10.1007/JHEP05(2024)133
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DOI: https://doi.org/10.1007/JHEP05(2024)133