Characters of irrelevant deformations

A bstract We analyse the $$ T\overline{T} T ¯ deformation of 2d CFTs in a special double-scaling limit, large central charge and small parameter. In particular, we derive closed formulae for product left right moving CFT characters on torus. It is shown that 1 /c contribution takes same form as CFT, but with rescalings modular parameter reflecting state-dependent change coordinates. also extend analysis more general deformations involve , J\overline{T} J T\overline{J} simultaneously. comment implications our results holographic proposals irrelevant deformations.