A Matrix Model for the Two Dimensional Black Hole
Vladimir Kazakov, Ivan Kostov, David Kutasov
TL;DR
This paper develops a matrix model to describe two-dimensional string theory in Euclidean black hole backgrounds, exploring quantum corrections and the role of vortex condensation in black hole thermodynamics.
Contribution
It introduces a novel matrix model framework for 2D black holes, incorporating vortex condensation conjectures to analyze quantum effects.
Findings
Quantum corrections to black hole thermodynamics are characterized.
The matrix model supports the vortex condensation conjecture.
Insights into the microscopic structure of 2D black holes.
Abstract
We construct and study a matrix model that describes two dimensional string theory in the Euclidean black hole background. A conjecture of V. Fateev, A. and Al. Zamolodchikov, relating the black hole background to condensation of vortices (winding modes around Euclidean time) plays an important role in the construction. We use the matrix model to study quantum corrections to the thermodynamics of two dimensional black holes.
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