We study the fluctuation entropy for two-dimensional matter systems with an internal symmetry coupled to Jackiw-Teitelboim (JT) gravity joined to a Minkowski region. The fluctuation entropy is the Shannon entropy associated to probabilities of finding particular charge for a region. We first consider a case where the matter has a global symmetry. We find that the fluctuation entropy of Hawking radiation shows an unbounded growth and exceeds the entanglement entropy in presence of islands. This indicates that the global symmetry is violated. We then discuss the fluctuation entropy for matter coupled to a two-dimensional gauge field. We find a lower bound on the gauge coupling $g_0$ in order to avoid a similar issue. Also, we point out a few puzzles related to the island prescription in presence of a gauge symmetry.
Cited by 5
Di Giulio et al., Symmetry-resolved modular correlation functions in free fermionic theories
J. High Energ. Phys. 2023, 58 (2023) [Crossref]
Northe, Entanglement Resolution with Respect to Conformal Symmetry
Phys. Rev. Lett. 131, 151601 (2023) [Crossref]
Kusuki et al., Symmetry-resolved entanglement entropy, spectra & boundary conformal field theory
J. High Energ. Phys. 2023, 216 (2023) [Crossref]
Murciano et al., Symmetry-resolved entanglement in fermionic systems with dissipation
J. Stat. Mech. 2023, 113102 (2023) [Crossref]
Di Giulio et al., On the boundary conformal field theory approach to symmetry-resolved entanglement
SciPost Phys. Core 6, 049 (2023) [Crossref]
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Alexey Milekhin,
- 1 Amirhossein Tajdini