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arXiv · hep-th/0604187

Liouville theory and uniformization of four-punctured sphere

Leszek Hadasz·Zbigniew Jaskolski
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Abstract

Few years ago Zamolodchikov and Zamolodchikov proposed an expression for the 4-point classical Liouville action in terms of the 3-point actions and the classical conformal block. In this paper we develop a method of calculating the uniformizing map and the uniformizing group from the classical Liouville action on n-punctured sphere and discuss the consequences of Zamolodchikovs conjecture for an explicit construction of the uniformizing map and the uniformizing group for the sphere with four punctures.

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Leszek Hadasz, Zbigniew Jaskolski. 2006-04-25. Liouville theory and uniformization of four-punctured sphere. https://doi.org/10.1063/1.2234272

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