A note on entanglement entropy and topological defects in symmetric orbifold CFTs

Author:

Gutperle MichaelORCID,Li Yan-YanORCID,Rathore DikshantORCID,Roumpedakis KonstantinosORCID

Abstract

Abstract In this brief note we calculate the entanglement entropy in MN/SN symmetric orbifold CFTs in the presence of topological defects, which were recently constructed in [1, 2]. We consider both universal defects which realize Rep(SN) non-invertible symmetry and non-universal defects. We calculate the sub-leading defect entropy/g-factor for defects at the boundary of the entangling surface as well as inside it.

Publisher

Springer Science and Business Media LLC

Reference50 articles.

1. M. Gutperle, Y.-Y. Li, D. Rathore and K. Roumpedakis, Non-invertible symmetries in SN orbifold CFTs and holography, arXiv:2405.15693 [INSPIRE].

2. B. Knighton, V. Sriprachyakul and J. Vošmera, Topological defects and tensionless holography, arXiv:2406.03467 [INSPIRE].

3. P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory, J. Phys. A 42 (2009) 504005 [arXiv:0905.4013] [INSPIRE].

4. T. Nishioka, Entanglement entropy: holography and renormalization group, Rev. Mod. Phys. 90 (2018) 035007 [arXiv:1801.10352] [INSPIRE].

5. H. Casini and M. Huerta, Lectures on entanglement in quantum field theory, PoS TASI2021 (2023) 002 [arXiv:2201.13310] [INSPIRE].

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