Classical Liouville Theory and the Microscopic Interpretation of Black Hole Entropy

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In this paper we will give a general introduction to the role of conformal symmetry in the microscopic interpretation of black hole entropy and then compute the entropy of a Schwarzschild black hole by finding a classical central charge of the Virasoro algebra of a Liouville theory and using the Cardy formula.
To appear on the proceedings of the 5.International Conference on Symmetry in Nonlinear Mathematical Physics (Kyiv, Ukraine 23.-29.6.2003)

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