The massless string spectrum on \(\mathrm{AdS}_{3}\times S^{3}\) from the supergroup. (English) Zbl 1303.81163
Summary: String theory on \(\mathrm{AdS}_{3} \times S^{3}\) is studied in the hybrid formulation. We give a detailed description of the \(\mathrm{PSL}(2-2)\) supergroup WZW model that underlies the background with pure NS-NS flux, and determine the BRST-cohomology corresponding to the massless string states. The resulting spectrum is shown to match exactly with the expected supergravity answer, including the sectors with small KK momentum on the sphere.
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 |
| 83E50 | Supergravity |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
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