Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866911861909225472 |
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| author | Kawabata, Kohki Nishioka, Tatsuma Okuda, Takuya |
| author_facet | Kawabata, Kohki Nishioka, Tatsuma Okuda, Takuya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01579 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging Kawabata, Kohki Nishioka, Tatsuma Okuda, Takuya High Energy Physics - Theory Quantum Physics 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. |
| title | Narain CFTs from quantum codes and their $\mathbb{Z}_2$ gauging |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2308.01579 |