  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.

High Energy Physics - Theory