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The D1D5 CFT gives a holographic dual description of a near-extremal blackhole in string theory. The interaction in this theory is given by a marginaldeformation operator, which is composed of supercharges acting on a twistoperator. The twist operator links together different copies of a free CFT. Westudy the effect of this deformation operator when it links together CFT copieswith winding numbers M and N to produce a copy with winding M+N, populated withexcitations of a particular form. We compute the effect of the deformationoperator in the full supersymmetric theory, firstly on a Ramond-Ramond groundstate and secondly on states with an initial bosonic or fermionic excitation.Our results generalize recent work which studied only the bosonic sector of theCFT. Our findings are a step towards understanding thermalization in the D1D5CFT, which is related to black hole formation and evaporation in the bulk.

Effect of the deformation operator in the D1D5 CFT