Superstrings in Thermal Anti-de Sitter Space

Sujay K. Ashok (1) , Jan Troost (2)

1 HBNI - Homi Bhabha National Institute
2 Champs, Gravitation et Cordes

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.

Mots clés: Conformal Field Models in String Theory; AdS-CFT Correspondence; space-time: anti-de Sitter; Ramond; dimension: conformal; group: isometry; torus: twist; dimension: 3; partition function; free energy; superstring; thermal; Hilbert space; path integral; string model; ground state; quantization; off-shell; modular; Casimir; flux

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Sujay K. Ashok, Jan Troost. Superstrings in Thermal Anti-de Sitter Space. Journal of High Energy Physics, 2021, 04, pp.007. ⟨10.1007/JHEP04(2021)007⟩. ⟨hal-03098897⟩