Two dimensional black-hole as a topological coset model of c=1 string theory

Abstract

We show that a special superconformal coset (with $\hat{c}=3$) is equivalent to $c=1$ matter coupled to two dimensional gravity. This identification allows a direct computation of the correlation functions of the $c=1$ non-critical string to all genus, and at nonzero cosmological constant, directly from the continuum approach. The results agree with those of the matrix model. Moreover we connect our coset with a twisted version of a Euclidean two dimensional black hole, in which the ghost and matter systems are mixed.

51 pages. Appendix by E. Frenkel

References in corpus (10)

• Algebraic Structures and Differential Geometry in 2D String Theory
• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Physical States in G/G Models and 2d Gravity
• Ward Identities in Two-Dimensional String Theory
• Topological Field Theories and Space-Time Singularity
• Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform
• Two Dimensional String Theory and the Topological Torus
• Massive Orbifold
• A New Construction of the Penner Model

Cited by in corpus (74)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Towards the large N limit of pure N=1 super Yang Mills
• Superstrings and Topological Strings at Large N
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Worldsheet Derivation of a Large N Duality
• c=1 String as the Topological Theory of the Conifold
• N=4 Topological Strings
• D-Strings on D-Manifolds
• N=2 Type II- Heterotic duality and Higher derivative F-terms
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
• Time-dependent backgrounds of 2D string theory
• Deformed Topological Partition Function and Nekrasov Backgrounds
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• The Topological Matrix Model Of c=1 String
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• On the relation between open and closed topological strings
• Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
• Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory
• Open Strings on AdS_2 Branes
• Strings in Plane Wave Backgrounds Revisited
• 2D String Theory as Normal Matrix Model
• Topological Landau-Ginzburg Model of Two-Dimensional String Theory
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• D-branes in non-critical superstrings and duality in N=1 gauge theories with flavor
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Trisecting non-Lagrangian theories
• More AdS_3 correlators
• Complex matrix model duality
• Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
• Holographic Probes of Inner Horizons
• Infinite Conformal Algebras in Supersymmetric Theories on Four Manifolds
• Exact N=2 Landau-Ginzburg Flows
• Matrix models, 4D black holes and topological strings on non-compact Calabi-Yau manifolds
• Integrable flows in c=1 string theory
• Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory
• Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities
• Discrete D-branes in AdS3 and in the 2d black hole
• Little String Theories in Heterotic Backgrounds
• A Stringy Wave Function for an S^3 Cosmology
• On an Airy matrix model with a logarithmic potential
• c=1 Matrix Models: Equivalences and Open-Closed String Duality
• Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
• c < 1 String from Two Dimensional Black Holes
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• Liouville D-branes in Two-Dimensional Strings and Open String Field Theory
• Topological Strings with Scaling Violation and Toda Lattice Hierarchy
• Topological Cigar and the c=1 String : Open and Closed
• Non-Critical String Duals of N=1 Quiver Theories
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• Families of Singular and Subsingular Vectors of the Topological N=2 Superconformal Algebra
• Large N gauge theories and topological cigars
• D-branes in Unoriented Non-critical Strings and Duality in SO(N) and Sp(N) Gauge Theories
• The Topological Cigar Observables
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• Refined Cigar and Omega-deformed Conifold
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Crosscap states in N=2 Liouville theory
• Spectral Flows and Twisted Topological Theories
• Topological String on OSP(1|2)/U(1)
• Critical Non-Abelian Vortex and Holography for Little String Theory
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
• $c_M<1$ String Theory as a Constrained Topological Sigma Model
• 2d Sigma Models on Non-compact Calabi-Yau and $\mathcal{N}=2$ Liouville Theory
• Notes on a singular Landau-Ginzburg family
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole
• TOPOLOGICAL MATTER, MIRROR SYMMETRY AND NON-CRITICAL (SUPER)STRINGS
• ON TOPOLOGICAL $2D$ STRING AND INTERSECTION THEORY
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes
• Quantizing a solitonic string
• Winding modes and the reflection symmetry in AdS${}_3$
• Ward Identities of W_{\infty} Symmetry and Higher Genus Amplitudes in 2D String Theory
• Topological supergravity structure of non-critical superstring theories