Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
Differential Geometry
2018-01-17 v2 Analysis of PDEs
Abstract
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 Rivi\`ere's regularity theory and Riesz potential theory.
Keywords
Cite
@article{arxiv.1610.02289,
title = {Regularity of Solutions of the Nonlinear Sigma Model with Gravitino},
author = {Jürgen Jost and Enno Keßler and Jürgen Tolksdorf and Ruijun Wu and Miaomiao Zhu},
journal= {arXiv preprint arXiv:1610.02289},
year = {2018}
}
Comments
24 pages. This is a revised version, with some typos corrected. To appear in Commun. Math. Phys