$W_{\infty} Algebra in Two-Dimensional Black Hole

Abstract

We study the $SL(2;R)/U(1)$ coset model of two-dimensional black hole and its relation to the Liouville theory coupled to c=1 matter. We uncover a basic isomorphism in the algebraic structures of these theories and show that the black hole model has the same physical spectrum as the c=1 model, i.e. tachyons, $W_{\infty }$ currents and the ground ring elements. we also identify the operator responsible for the creation of the mass of the black hole.

10pages, NI92004

References in corpus (3)

• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Quantum Rings and Recursion Relations in 2D Quantum Gravity

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• Topological Landau-Ginzburg Model of Two-Dimensional String Theory
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• BRST Analysis of Physical States in Two-Dimensional Black Hole
• c=1 Liouville Theory Perturbed by the Black-Hole Mass operator
• Generalized NLS Hierarchies from Rational $W$ Algebras
• Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two Dimensional Topological String Theory
• Equivalence of BRST cohomologies for 2-d black hole and c=1 Liouville theory
• The Scattering of Strings in a Black-Hole Background
• The spectrum of the 2D Black Hole, or Does the 2D black hole have tachyonic or W--hair?
• Notes on a singular Landau-Ginzburg family
• Naked Singularities in Four-Dimensional String Backgrounds