期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2021)007
关键词
Conformal Field Models in String Theory; AdS-CFT Correspondence
The study revisited the calculation of the thermal free energy in three-dimensional anti-de Sitter spacetime with Neveu-Schwarz-Neveu-Schwarz flux and extended it to superstrings. The boundary toroidal twisted partition function in the Ramond-Ramond sector was calculated and lower bounds on the boundary conformal dimension were proven from the bulk perspective. The study also classified Ramond-Ramond ground states and constructed their second quantized partition function, revealing intriguing modular properties.
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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