Classical Liouville Theory and the Microscopic Interpretation of Black Hole Entropy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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To appear on the proceedings of the 5.International Conference on Symmetry in Nonlinear Mathematical Physics (Kyiv, Ukraine 23

Scientific paper

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.

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