Journal Article

Spectrum of end of the world branes in holographic BCFTs

Ugajin, Tomonori, Takayanagi, Tadashi, Miyaji, Masamichi

2021

Overview

A bstract We study overlaps between two regularized boundary states in conformal field theories. Regularized boundary states are dual to end of the world branes in an AdS black hole via the AdS/BCFT. Thus they can be regarded as microstates of a single sided black hole. Owing to the open-closed duality, such an overlap between two different regularized boundary states is exponentially suppressed as ψ a ψ b ∼ e − O h ab min , where h ab min is the lowest energy of open strings which connect two different boundaries a and b . Our gravity dual analysis leads to h ab min = c/ 24 for a pure AdS 3 gravity. This shows that a holographic boundary state is a random vector among all left-right symmetric states, whose number is given by a square root of the number of all black hole microstates. We also perform a similar computation in higher dimensions, and find that h ab min depends on the tensions of the branes. In our analysis of holographic boundary states, the off diagonal elements of the inner products can be computed directly from on-shell gravity actions, as opposed to earlier calculations of inner products of microstates in two dimensional gravity.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,Springer Nature,SpringerOpen
• Subject: AdS-CFT Correspondence / Black holes / Boundary conditions / Boundary Quantum Field Theory / Branes / Classical and Quantum Gravitation / CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS / Conformal Field Theory / Elementary Particles / Gravity / High energy physics / Holography / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / String Theory / Symmetry / Theoretical physics