Super-Liouville equations on closed Riemann surfaces

被引：15

作者：

Jost, Juergen

Wang, Guofang

Zhou, Chunqin

机构：

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[2] Univ Magdeburg, Fac Math, D-39106 Magdeburg, Germany

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 7-9期

基金：

中国国家自然科学基金;

关键词：

blow-up; compactness; Liouville equation; super-Liouville equation;

D O I：

10.1080/03605300600962663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the supersymmetric extension of Liouville theory in the recent physics literature, we couple the standard Liouville functional with a spinor field term. The resulting functional is conformally invariant. We study geometric and analytic aspects of the resulting Euler-Lagrange equations, culminating in a blow up analysis.

引用

页码：1103 / 1128

页数：26

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