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Article Dans Une Revue Journal of High Energy Physics Année : 2021

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

Résumé

We consider the problem of the decomposition of the Rényi 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 Rényi entropies exhibits a universal prefactor equal to half the dimension of the Lie group.

Dates et versions

hal-03312459 , version 1 (02-08-2021)

Identifiants

Citer

Pasquale Calabrese, Jerome Dubail, Sara Murciano. Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models. Journal of High Energy Physics, 2021, 10, pp.067. ⟨10.1007/JHEP10(2021)067⟩. ⟨hal-03312459⟩
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