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Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

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arxiv 2106.15946 v2 pith:UH3WMVRX submitted 2021-06-30 hep-th cond-mat.stat-mechquant-ph

Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

Pasquale Calabrese , J\'er\^ome Dubail , Sara Murciano This is my paper
classification hep-th cond-mat.stat-mechquant-ph
keywords entanglementgroupconsiderdimensionentropiesenyileadingmodels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the problem of the decomposition of the R\'enyi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models. We first consider $SU(2)_k$ as a case study and then generalise to an arbitrary non-abelian Lie group. We find that at leading order in the subsystem size $L$ the entanglement is equally distributed among the different sectors labelled by the irreducible representation of the associated algebra. We also identify the leading term that breaks this equipartition: it does not depend on $L$ but only on the dimension of the representation. Moreover, a $\log\log L$ contribution to the R\'enyi entropies exhibits a universal form related to the underlying symmetry group of the model, i.e. the dimension of the Lie group.

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Cited by 3 Pith papers

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