黎曼面的单值化与刘维场论

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黎曼面的单值化与刘维场论

物理学报, 1993, 42(1): 1-8.

DOI: 10.7498/aps.42.1

CSTR: 32037.14.aps.42.1

UNIFORMIZATION IN RIEMANN SURFACES AND LIOUVILLE FIELD THEORY

Acta Phys. Sin., 1993, 42(1): 1-8.

DOI: 10.7498/aps.42.1

CSTR: 32037.14.aps.42.1

摘要

讨论了带puncture黎曼面上刘维场的monodromy,计算得到了与Fuchsian单值化紧密相联的刘维场经典交换代数和4n2×4n2阶的交换矩阵,讨论了它与SL(2n,R)的联系及其它性质。
Abstract
The monodromy of Liouville field in the punctured Riemann sphere is disc us-sed. The exchange algebras and exchange matrix of the field are obtained by means of uniformization in Liouville theory. A relation between the exchange matrix and SL(2n,R) is also presented.
作者及机构信息
沈建民,

盛正卯,

李有泉
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