THE EXCHANGE ALGEBRA FOR LIOUVILLE THEORY ON A PUNCTURED RIEMANN SPHERE

被引：4

作者：

SHEN, JM

SHENG, ZM

机构：

[1] INT CTR THEORET PHYS,I-34100 TRIESTE,ITALY

[2] HANZHOU UNIV,DEPT PHYS,HANZHOU,PEOPLES R CHINA

来源：

PHYSICS LETTERS B | 1992年 / 279卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/0370-2693(92)90394-J

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider in this paper the classical Liouville field theory on the Riemann sphere with n punctures. In terms of the uniformization theorem of the Riemann surface, we explicitly show the classical exchange algebra (CEA) for the chiral components of the Liouville field. We find that the matrix which dominates the CEA is related to the symmetry of the Lie group SL(n) in a nontrivial manner with n > 3.

引用

页码：285 / 290

页数：6

共 50 条

[1] CLASSICAL EXCHANGE ALGEBRA IN LIOUVILLE THEORY ON A RIEMANN SURFACE
CHEN, XY
GAO, HB
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (01): : 123 - 133
[2] Liouville theory and uniformization of four-punctured sphere
Hadasz, Leszek
Jaskolski, Zbigniew
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (08)
[3] Quantum exchange algebra and locality in Liouville theory
Fujiwara, T
Igarashi, H
Takimoto, Y
[J]. PHYSICS LETTERS B, 1997, 391 (1-2) : 78 - 86
[4] Quantum exchange algebra and locality in Liouville theory
[J]. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 1997, 391 (1-2):
[5] UNIVERSAL EXCHANGE ALGEBRA FOR BLOCH WAVES AND LIOUVILLE THEORY
BABELON, O
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 139 (03) : 619 - 643
[6] Liouville Quantum Gravity on the Riemann Sphere
David, Francois
Kupiainen, Antti
Rhodes, Remi
Vargas, Vincent
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 342 (03) : 869 - 907
[7] Liouville Quantum Gravity on the Riemann Sphere
François David
Antti Kupiainen
Rémi Rhodes
Vincent Vargas
[J]. Communications in Mathematical Physics, 2016, 342 : 869 - 907
[8] HYPERBOLIC METRIC, PUNCTURED RIEMANN SPHERE, AND MODULAR FUNCTIONS
Qian, Junqing
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (12) : 8751 - 8784
[9] LIOUVILLE THEORY ON THE LATTICE AND UNIVERSAL EXCHANGE ALGEBRA FOR BLOCH WAVES
BABELON, O
[J]. LECTURE NOTES IN MATHEMATICS, 1992, 1510 : 159 - 175
[10] Quaternionic algebra and sheaves on the Riemann sphere
Quillen, D
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1998, 49 (194): : 163 - 198

← 1 2 3 4 5 →