One-Loop Transition Amplitudes in the D1D5 CFT

Abstract

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed off the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coefficients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

arXiv comment58 pages, 4 figures, 2 tables

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Cited by in corpus (13)

• Lifting of D1-D5-P states
• Lifting at higher levels in the D1D5 CFT
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• Full action of two deformation operators in the D1D5 CFT
• Lifting of level-1 states in the D1D5 CFT
• The OPE of bare twist operators in bosonic $S_N$ orbifold CFTs at large $N$
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• Thermalization in the D1D5 CFT
• Component twist method for higher twists in D1D5 CFT
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• The Dual of a Tidal Force in the D1D5 CFT
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure