期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2021)067
关键词
Conformal Field Theory; Field Theories in Lower Dimensions; Global Symmetries
资金
- ERC [771536]
- CNRS International Emerging Actions under the grant QuDOD
Through a thorough analysis of Wess-Zumino-Witten models, we find that in theories with a non-abelian symmetry, the Renyi entanglement entropy is equally distributed among different sectors at leading order, with a leading term breaking this equipartition depending only on the dimension of the representation. Additionally, a log log L contribution exhibits a universal prefactor equal to half the dimension of the Lie group.
We consider the problem of the decomposition of the Renyi 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 Renyi entropies exhibits a universal prefactor equal to half the dimension of the Lie group.
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