Classical Liouville action on the sphere with three hyperbolic singularities

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 2 eps figures

Scientific paper

10.1016/j.nuclphysb.2004.03.012

The classical solution to the Liouville equation in the case of three
hyperbolic singularities of its energy-momentum tensor is derived and analyzed.
The recently proposed classical Liouville action is explicitly calculated in
this case. The result agrees with the classical limit of the three point
function in the DOZZ solution of the quantum Liouville theory.

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