Classical Liouville action on the sphere with three hyperbolic singularities

Leszek Hadasz; Zbigniew Jaskolski

Classical Liouville action on the sphere with three hyperbolic singularities

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arxiv hep-th/0309267 v1 pith:4OKVORGL submitted 2003-09-30 hep-th

Leszek Hadasz , Zbigniew Jaskolski This is my paper

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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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Mixed Solutions to the Liouville Equation
hep-th 2025-06 conditional novelty 6.0 of 10

Explicit mixed-monodromy Liouville solutions are constructed and their large-hyperbolic limits are used to describe time-symmetric slices of 2+1 gravity with particles and black holes.

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