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We consider the issue of thermalization in the D1D5 CFT. Thermalization isexpected to correspond to the formation of a black hole in the dual gravitytheory. 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 clearthermalization effect when the theory was deformed off the orbifold point tofirst order in the relevant twist perturbation. In this paper we consider thedeformation to second order in the twist, where we do find effects that cancause thermalization of an initial perturbation. We consider a 1-loop processwhere two untwisted copies of the CFT are twisted to one copy and then againuntwisted to two copies. We start with a single oscillator excitation on theinitial CFT, and compute the effect of the two twists on this state. We findsimple approximate expressions for the Bogoliubov coefficients and the behaviorof the single oscillator excitation in the continuum limit, where the modenumbers involved are taken to be much larger than unity. We also prove a numberof useful relationships valid for processes with an arbitrary number of twistinsertions.

One-Loop Transition Amplitudes in the D1D5 CFT