Second order effect of twist deformation in the D1D5 CFT

TL;DR

This paper investigates the second order effects of twist deformations in the D1D5 CFT, aiming to identify thermalization processes by computing the impact of two twist operators on the vacuum state.

Contribution

It provides the first detailed analysis of second order twist effects in the D1D5 CFT, including explicit calculations of Bogoliubov coefficients.

Findings

Second order twist effects generate a squeezed state from the vacuum.

Explicit expressions for Bogoliubov coefficients are derived.

Results suggest potential thermalization mechanisms at second order.

Abstract

Thermalization in the D1D5 CFT should occur via interactions caused by the twist operator, which deforms the theory off its free orbifold point. Earlier studies investigating this deformation at first order did not show any definite evidence of thermalization. In this paper we study the deformation to second order, where we do expect to see the effects that should give thermalization. We compute the effect of two twist operators on an initial vacuum state, which generates a squeezed state analogous to the case for a single twist. We obtain expressions for the Bogoliubov coefficients in this 2-twist case.