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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Autores principales:	Anatoly Dymarsky, Adar Sharon
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Conformal Field Theory Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/d6369b15a2794f1c9486a3f620892f7d
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spelling	oai:doaj.org-article:d6369b15a2794f1c9486a3f620892f7d2021-11-08T11:16:44ZNon-rational Narain CFTs from codes over F 410.1007/JHEP11(2021)0161029-8479https://doaj.org/article/d6369b15a2794f1c9486a3f620892f7d2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)016https://doaj.org/toc/1029-8479Abstract 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.Anatoly DymarskyAdar SharonSpringerOpenarticleConformal Field TheoryField Theories in Lower DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-34 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Conformal Field Theory Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Conformal Field Theory Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Anatoly Dymarsky Adar Sharon Non-rational Narain CFTs from codes over F 4
description	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.
format	article
author	Anatoly Dymarsky Adar Sharon
author_facet	Anatoly Dymarsky Adar Sharon
author_sort	Anatoly Dymarsky
title	Non-rational Narain CFTs from codes over F 4
title_short	Non-rational Narain CFTs from codes over F 4
title_full	Non-rational Narain CFTs from codes over F 4
title_fullStr	Non-rational Narain CFTs from codes over F 4
title_full_unstemmed	Non-rational Narain CFTs from codes over F 4
title_sort	non-rational narain cfts from codes over f 4
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/d6369b15a2794f1c9486a3f620892f7d
work_keys_str_mv	AT anatolydymarsky nonrationalnaraincftsfromcodesoverf4 AT adarsharon nonrationalnaraincftsfromcodesoverf4
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Non-rational Narain CFTs from codes over F 4

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