Abstract
We revisit the calculation of the thermal free energy for string theory in three-dimensional anti-de Sitter spacetime with Neveu-Schwarz-Neveu-Schwarz flux. The path integral calculation is exploited to confirm the off-shell Hilbert space and we find that the Casimir of the discrete representations of the isometry group takes values in a half-open interval. We extend the free energy calculation to the case of superstrings, calculate the boundary toroidal twisted partition function in the Ramond-Ramond sector, and prove lower bounds on the boundary conformal dimension from the bulk perspective. We classify Ramond-Ramond ground states and construct their second quantized partition function. The partition function exhibits intriguing modular properties.
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Ashok, S.K., Troost, J. Superstrings in thermal anti-de Sitter space. J. High Energ. Phys. 2021, 7 (2021). https://doi.org/10.1007/JHEP04(2021)007
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DOI: https://doi.org/10.1007/JHEP04(2021)007