Evolution of entanglement entropy in the D1-D5 brane system

TL;DR

This paper analytically studies how entanglement entropy evolves after a local quench in the D1-D5 conformal field theory, revealing insights into thermalization and black hole formation in a holographic context.

Contribution

It provides an exact analytic expression for entanglement entropy evolution in the D1-D5 system after a local quench, linking field theory dynamics to black hole formation.

Findings

Exact formula for entanglement entropy evolution

Demonstrates thermalization process in D1-D5 CFT

Connects entanglement dynamics to black hole formation

Abstract

We calculate the evolution of the geometric entanglement entropy following a local quench in the D1D5 conformal field theory, a two-dimensional theory that describes a particular bound state of D1 and D5 branes. The quench corresponds to a localized insertion of the exactly marginal operator that deforms the field theory off of the orbifold (free) point in its moduli space. This deformation ultimately leads to thermalization of the system. We find an exact analytic expression for the entanglement entropy of any spatial interval as a function of time after the quench and analyze its properties. This process is holographically dual to one stage in the formation of a stringy black hole.