Entanglement Entropy and D1-D5 geometries

Abstract

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state that is not the vacuum. We study in particular the 2D Conformal Field Theory dual to type IIB string theory on AdS${}_3\times S^3\times T^4$ and focus on the $1/4$-BPS states described holographically by the 2-charge microstate geometries. We discuss a general prescription for the calculation of the entanglement entropy in these geometries that are asymptotically AdS${}_3\times S^3$. In particular we study analytically the perturbative expansion for a single, short interval: we show that the first non-trivial terms in this expansion are consistent with the expected CFT structure and with previous results on the vevs of chiral primary operators for the $1/4$-BPS configurations.

20 pages; v2: clarifications on the holographic computation and comments on the non-static cases added, references updated; v3: corrected typos

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Cited by in corpus (3)

• Entwinement in discretely gauged theories
• Quantum dimensions from local operator excitations in the Ising model
• Localized states in global AdS