2–6 Sept 2024
University of Southampton
Europe/London timezone

Categorical-Symmetry Resolved Entanglement in CFT

3 Sept 2024, 14:30
20m
B44/LTB (University of Southampton)

B44/LTB

University of Southampton

Talk in parallel session Symmetries Parallel sessions

Speaker

Arpit Das

Description

We propose a symmetry-resolved entanglement for categorical non-invertible generalized symmetries (CaT-SREE) in (1+1)-dimensional CFTs. The definition parallels that of group-like invertible symmetries employing the concept of symmetric boundary states with respect to a categorical symmetry. Our examination extends to rational CFTs, where the behavior of CaT-SREE mirrors that of group-like invertible symmetries. This includes instances of the breakdown of entanglement equipartition at the next-to-leading order in the cutoff expansion. The findings shed light on the interplay between categorical symmetries, entanglement, and boundary conditions in (1 + 1)-dimensional CFTs.

Link to publication (if applicable)

https://arxiv.org/abs/2402.06322

Authors

Arpit Das Prof. Germán Sierra (IFT, UAM/CSIC,Madrid) Prof. Javier Molin-Vilaplana (Universidad Politécnica de Cartagena, Spain) Pablo Saura

Presentation materials