The partition function of the supersymmetric two-dimensional black hole and little string theory

Abstract

We compute the partition function of the supersymmetric two-dimensional Euclidean black hole geometry described by the SL(2,R)/U(1) superconformal field theory. We decompose the result in terms of characters of the N=2 superconformal symmetry. We point out puzzling sectors of states besides finding expected discrete and continuous contributions to the partition function. By adding an N=2 minimal model factor of the correct central charge and projecting on integral N=2 charges we compute the partition function of the background dual to little string theory in a double scaling limit. We show the precise correspondence between this theory and the background for NS5-branes on a circle, due to an exact description of the background as a null gauging of SL(2,R) x SU(2). Finally, we discuss the interplay between GSO projection and target space geometry.

JHEP class, 35 pages, no figures; v2: minor changes, typos corrected, published version

References in corpus (9)

• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• Branes in the 2D black hole
• Modular Bootstrap for Boundary N=2 Liouville Theory
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• One-Point Functions of N=2 Super-Liouville Theory with Boundary
• More on Superstrings in AdS(3) x N
• BRST Quantization of String Theory in AdS(3)

Cited by in corpus (49)

• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• The non-compact elliptic genus: mock or modular
• A Twisted Non-compact Elliptic Genus
• String Theory of Supertubes
• D-branes in Little String Theory
• Little Strings, Long Strings, and Fuzzballs
• String dynamics in NS5-F1-P geometries
• Stringy Structure at the BPS Bound
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• D-branes and SQCD in Non-Critical Superstring Theory
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• ZZ-Branes of N=2 Super-Liouville Theory
• Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT
• Perturbative String Thermodynamics near Black Hole Horizons
• Heterotic strings on homogeneous spaces
• Black hole microstates from the worldsheet
• Lessons on Black Holes from the Elliptic Genus
• Worldsheet Correlators in Black Hole Microstates
• Mirrorfolds with K3 Fibrations
• Integrable asymmetric $\lambda$-deformations
• D-branes in Lorentzian AdS(3)
• Tree-Level Stability Without Spacetime Fermions: Novel Examples in String Theory
• Moonshine in Fivebrane Spacetimes
• Unwinding strings in semi-flatland
• Worldsheet computation of heavy-light correlators
• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• NS5-branes on an ellipsis and novel marginal deformations with parafermions
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Elliptic Genera of Non-compact Gepner Models and Mirror Symmetry
• Conformally invariant boundary conditions in the antiferromagnetic Potts model and the $SL(2,\mathbb{R})/U(1)$ sigma model
• Comments on Non-holomorphic Modular Forms and Non-compact Superconformal Field Theories
• Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
• Superstrings in Thermal Anti-de Sitter Space
• Fundamental branes and shock waves
• Non-Critical String Duals of N=1 Quiver Theories
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy
• Stable Non-Supersymmetric Vacua in the Moduli Space of Non-Critical Superstrings
• Higher Poles and Crossing Phenomena from Twisted Genera
• Pure and Twisted Holography
• The Topological Cigar Observables
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• Holographic approach to deformations of NS5-brane distributions and exact CFTs
• Comments on geometric and universal open string tachyons near fivebranes
• Twisted Massive Non-Compact Models
• Orientifolds in N=2 Liouville Theory and its Mirror
• Non-compact Mirror Bundles and (0,2) Liouville Theories
• Parafermions, Brane Distributions and FRW Hierarchies
• Strings and D-branes in holographic backgrounds