Generalized symmetry resolution of entanglement in conformal field theory for twisted and anyonic sectors

Das, Arpit; Molina-Vilaplana, Javier; Saura-Bastida, Pablo

doi:10.1103/PhysRevD.110.125005

Generalized symmetry resolution of entanglement in conformal field theory for twisted and anyonic sectors

Sep 3, 2024

6 pages

Published in:

Phys.Rev.D 110 (2024) 12, 12

Published: Dec 2, 2024

e-Print:

2409.02162 [hep-th]

DOI:

10.1103/PhysRevD.110.125005 (publication)

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Abstract: (APS)

A comprehensive symmetry resolution of the entanglement entropy in (

1 + 1

)-d rational conformal field theories with categorical noninvertible symmetries is presented. This amounts to symmetry resolving the entanglement with respect to the generalized twisted and anyonic charged sectors of the theory. The anyonic sectors label the irreducible representations of a modular fusion category defining the symmetry and can be understood through the (

2 + 1

)-d symmetry topological field theory that encodes the symmetry features of the conformal field theory. Using this, we define the corresponding generalized boundary-dependent charged moments necessary for the symmetry resolution of the entanglement entropy and find that, contrary to the case of invertible symmetries, the entanglement equipartition between different charged sectors at the next-to-leading order in the ultraviolet cutoff, is broken.

Note:

6 pages + 5 pages appendices, 1 figure. v2: added references and minor clarifications, main results unchanged

References(38)

Figures(0)

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