Symmetryresolved entanglement entropy in WessZuminoWitten models
Abstract
We consider the problem of the decomposition of the Rényi entanglement entropies in theories with a nonabelian symmetry by doing a thorough analysis of WessZuminoWitten (WZW) models. We first consider SU(2)_{k} as a case study and then generalise to an arbitrary nonabelian 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2021
 DOI:
 10.1007/JHEP10(2021)067
 arXiv:
 arXiv:2106.15946
 Bibcode:
 2021JHEP...10..067C
 Keywords:

 Conformal Field Theory;
 Field Theories in Lower Dimensions;
 Global Symmetries;
 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 31 pages, v2: minor changes