Superstrings in Thermal Anti-de Sitter Space

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.

arXiv comment58 pages, 4 figures

References in corpus (47)

• The Large N Limit of Superconformal Field Theories and Supergravity
• N=2 Extremal Black Holes
• AdS3 Black Holes and a Stringy Exclusion Principle
• A Strong Coupling Test of S-Duality
• The D1/D5 System And Singular CFT
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• More Comments on String Theory on AdS_3
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• The Worldsheet Dual of the Symmetric Product CFT
• Instantons on D-branes
• JT gravity as a matrix integral
• Supersymmetry of the 2+1 black holes
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Superstrings on AdS_3 and Symmetric Products
• The non-compact elliptic genus: mock or modular
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• Towards integrability for AdS3/CFT2
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Comments On String Theory
• Large N Elliptic Genus and AdS/CFT Correspondence
• The GS String Action on AdS(3)xS(3) with Ramond-Ramond Charge
• Integrable spin chain for stringy Wess-Zumino-Witten models
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• The GS Type IIB Superstring Action on AdS(3) X S(3) X T(4)
• A Twisted Non-compact Elliptic Genus
• Baby Universes, Holography, and the Swampland
• Spectral Flow in AdS(3)/CFT(2)
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory
• Resolutions and Characters of Irreducible Representations of the N=2 Superconformal Algebra
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Lessons on Black Holes from the Elliptic Genus
• BRST Quantization of String Theory in AdS(3)
• An Index for 2D field theories with large N=4 superconformal symmetry
• Long strings and chiral primaries in the hybrid formalism
• Topological AdS/CFT
• The AdS3 central charge in string theory
• Elliptic genera and real Jacobi forms
• Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
• Twisted String Theory in Anti-de Sitter Space
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• On the Quantization of the GS Type IIB Superstring Action on AdS3 X S3 with NSNS flux

Cited by in corpus (5)

• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• String Scale Thermal Anti-de Sitter Spaces
• Long Strings and Quasinormal Winding Modes
• The $Ad{S}_3\times S^1$ Chiral Ring
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality