Bulk entanglement entropy for photons and gravitons in AdS_3/CFT_2
Starts 26 Nov 2019 14:30
Ends 26 Nov 2019 16:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
Abstract. In this talk, I will discuss holographic entanglement entropy beyond the classical limit. The classical contribution to the entanglement entropy is given by the area of the Ryu-Takayanagi surface, and Faulkner, Lewkowycz and Maldacena showed that the quantum corrections arise from the bulk entanglement entropy across the RT surface. All fields in the low-energy effective field theory contribute to the bulk entanglement entropy, including gauge fields and gravitons for which it is notoriously difficult to factorize the Hilbert space. I will consider the bulk entanglement entropy for photons and gravitons in AdS_3/CFT_2, which enables an exact computation due to the topological nature of the degrees of freedom. In the vacuum where the CFT answer is fixed by symmetry, I will show that the effect of the bulk entanglement entropy is to renormalize Newton's constant. For excited states, I will show a perfect agreement between the bulk and CFT answers.
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