Solvable time-like cosets and holography beyond AdS

We build a novel time-like coset sigma-model describing type-II superstring theory in a charged rotating black-brane background that interpolates between a local AdS(3) in the IR and a linear-dilaton geometry in the UV. This allows one to peform a systematic study of holography in non-AdS backgrounds which are smoothly connected to AdS(3). We construct massless closed string states vertex operators in the NS-NS sector, calculate the corresponding two-point correlation functions, and discuss holographic interpretation of our results from 4+1 dimensional boundary field theory point of view. Compactifying the theory on T-4, we show that the spectrum of a single long string with unit winding agrees with the spectrum of a CFT2 deformed by T (T) over bar. We also calculate correlation functions of operators of the dual 1+1 dimensional non-conformal boundary field theory using world-sheet techniques.

Automated summary

We build a novel time-like coset sigma-model that describes type-II superstring theory in a charged rotating black-brane background. It connects the local AdS(3) in the IR and a linear-dilaton geometry in the UV, allowing for a systematic study of holography in non-AdS backgrounds smoothly connected to AdS(3).