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The exchange algebra for Liouville field on Riemann surfaces with h>1 genus

Year: 1994

Type: article

Abstract: We consider the classical Liouville field theory on the Riemann surface with h>1 genus. In terms of the uniformization theorem of the Riemann surface, we show explicitly the classical exchange algebra (CEA) for the chiral components of the Liouville field. We find that this classical exchange algebra is just the same as that on a Riemann sphere with 2h punctures.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/27/10/007

Authors: Zheng-Mao Sheng, Jian-Min Shen, Zhong-Hua Wang

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2042568057

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Cites: 14

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Related to: 10