Regularity of Solutions of the Nonlinear Sigma Model with Gravitino

被引：19

作者：

Jost, Juergen ^{[1
]}

Kessler, Enno ^{[1
]}

Tolksdorf, Juergen ^{[1
]}

Wu, Ruijun ^{[1
]}

Zhu, Miaomiao ^{[2
]}

机构：

[1] Max Planck Inst Math Sci, Inselstr 22-26, D-04103 Leipzig, Germany

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Dongchuan Rd 800, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 358卷 / 01期

基金：

中国国家自然科学基金;

关键词：

DIRAC-HARMONIC MAPS;

D O I：

10.1007/s00220-017-3001-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a geometric setup to study analytic aspects of a variant of the super symmetric two-dimensional nonlinear sigma model. This functional extends the functional of Dirac-harmonic maps by gravitino fields. The system of Euler-Lagrange equations of the two-dimensional nonlinear sigma model with gravitino is calculated explicitly. The gravitino terms pose additional analytic difficulties to show smoothness of its weak solutions which are overcome using RiviSre's regularity theory and Riesz potential theory.

引用

页码：171 / 197

页数：27

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