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The exchange algebra for Liouville theory on punctured Riemann sphere

Abstract

We consider in this paper the classical Liouville field theory on the Riemann sphere with n punctures. In terms of the uniformization theorem of Riemann surface, we show explicitly the classical exchange algebra (CEA) for the chiral components of the Liouville fields. We find that the matrice which dominate the CEA is related to the symmetry of the Lie group SL(n) in a nontrivial manner with n>3. (author). 10 refs.
Authors:
Jianmin, Shen; [1]  Zhengmao, Sheng [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Zhejiang Univ., Hangzhou, ZJ (China)
Publication Date:
Nov 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/376
Reference Number:
SCA: 662110; PA: AIX-23:028645; SN: 92000699622
Resource Relation:
Other Information: PBD: Nov 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; LIOUVILLE THEOREM; MATRICES; RIEMANN SPACE; SL GROUPS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10132867
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92622409; TRN: XA9230805028645
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Jianmin, Shen, and Zhengmao, Sheng. The exchange algebra for Liouville theory on punctured Riemann sphere. IAEA: N. p., 1991. Web.
Jianmin, Shen, & Zhengmao, Sheng. The exchange algebra for Liouville theory on punctured Riemann sphere. IAEA.
Jianmin, Shen, and Zhengmao, Sheng. 1991. "The exchange algebra for Liouville theory on punctured Riemann sphere." IAEA.
@misc{etde_10132867,
title = {The exchange algebra for Liouville theory on punctured Riemann sphere}
author = {Jianmin, Shen, and Zhengmao, Sheng}
abstractNote = {We consider in this paper the classical Liouville field theory on the Riemann sphere with n punctures. In terms of the uniformization theorem of Riemann surface, we show explicitly the classical exchange algebra (CEA) for the chiral components of the Liouville fields. We find that the matrice which dominate the CEA is related to the symmetry of the Lie group SL(n) in a nontrivial manner with n>3. (author). 10 refs.}
place = {IAEA}
year = {1991}
month = {Nov}
}