Solvable time-like cosets and holography beyond AdS. (English) Zbl 1522.81332
Summary: 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 \(\mathbb{T}^4\), we show that the spectrum of a single long string with unit winding agrees with the spectrum of a \(CFT_2\) deformed by \(T\bar{T}\). We also calculate correlation functions of operators of the dual \(1+1\) dimensional non-conformal boundary field theory using worldsheet techniques.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E30 | String and superstring theories in gravitational theory |
| 83C57 | Black holes |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
Keywords:
AdS-CFT correspondence; conformal field models in string theory; long strings; renormalization groupReferences:
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