Entanglement entropies of minimal models from null-vectors

We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap tec...

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Main Author:	Thomas Dupic, Benoit Estienne, Yacine Ikhlef
Format:	Article
Language:	English
Published:	SciPost 2018-06-01
Series:	SciPost Physics
Online Access:	https://scipost.org/SciPostPhys.4.6.031

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spelling	doaj-44b952902b234f7fb02a24c32a65f4432020-11-25T01:43:04ZengSciPostSciPost Physics2542-46532018-06-014603110.21468/SciPostPhys.4.6.031Entanglement entropies of minimal models from null-vectorsThomas Dupic, Benoit Estienne, Yacine IkhlefWe present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap techniques. We apply this method to the calculation of various R\'enyi entropies in the non-unitary Yang-Lee model.https://scipost.org/SciPostPhys.4.6.031
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Thomas Dupic, Benoit Estienne, Yacine Ikhlef
spellingShingle	Thomas Dupic, Benoit Estienne, Yacine Ikhlef Entanglement entropies of minimal models from null-vectors SciPost Physics
author_facet	Thomas Dupic, Benoit Estienne, Yacine Ikhlef
author_sort	Thomas Dupic, Benoit Estienne, Yacine Ikhlef
title	Entanglement entropies of minimal models from null-vectors
title_short	Entanglement entropies of minimal models from null-vectors
title_full	Entanglement entropies of minimal models from null-vectors
title_fullStr	Entanglement entropies of minimal models from null-vectors
title_full_unstemmed	Entanglement entropies of minimal models from null-vectors
title_sort	entanglement entropies of minimal models from null-vectors
publisher	SciPost
series	SciPost Physics
issn	2542-4653
publishDate	2018-06-01
description	We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap techniques. We apply this method to the calculation of various R\'enyi entropies in the non-unitary Yang-Lee model.
url	https://scipost.org/SciPostPhys.4.6.031
work_keys_str_mv	AT thomasdupicbenoitestienneyacineikhlef entanglemententropiesofminimalmodelsfromnullvectors
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Entanglement entropies of minimal models from null-vectors

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