Non-rational Narain CFTs from codes over F 4
Abstract We construct a map between a class of codes over F 4 and a family of non-rational Narain CFTs. This construction is complementary to a recently introduced relation between quantum stabilizer codes and a class of rational Narain theories. From the modular bootstrap point of view we formulate...
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| Auteurs principaux: | , |
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| Format: | article |
| Langue: | EN |
| Publié: |
SpringerOpen
2021
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| Accès en ligne: | https://doaj.org/article/d6369b15a2794f1c9486a3f620892f7d |
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| Résumé: | Abstract We construct a map between a class of codes over F 4 and a family of non-rational Narain CFTs. This construction is complementary to a recently introduced relation between quantum stabilizer codes and a class of rational Narain theories. From the modular bootstrap point of view we formulate a polynomial ansatz for the partition function which reduces modular invariance to a handful of algebraic easy-to-solve constraints. For certain small values of central charge our construction yields optimal theories, i.e. those with the largest value of the spectral gap. |
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