Schedule Nov 02, 2021
Fluctuation entropy of Hawking radiation
Amirhossein Tajdini, UCSB
Cite as: doi:10.26081/K6392N

I will talk about 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. I will first consider a case where the matter has a global symmetry. The calculation of 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. I will then discuss the fluctuation entropy for matter coupled to a two-dimensional gauge field. I will further discuss a lower bound on the gauge coupling in order to avoid a similar issue. Also, I will point out a few puzzles related to the island prescription in presence of a gauge symmetry.

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