Superstrings in Thermal Anti-de Sitter Space
Résumé
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
free energy
superstring
thermal
Hilbert space
path integral
string model
ground state
quantization
off-shell
modular
Casimir
flux
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
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