English

A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions

Differential Geometry 2018-08-31 v2 Mathematical Physics Analysis of PDEs math.MP

Abstract

We prove a vanishing result for critical points of the supersymmetric nonlinear sigma model on complete non-compact Riemannian manifolds of positive Ricci curvature that admit an Euclidean type Sobolev inequality, assuming that the dimension of the domain is bigger than two and that a certain energy is sufficiently small.

Keywords

Cite

@article{arxiv.1805.02216,
  title  = {A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions},
  author = {Volker Branding},
  journal= {arXiv preprint arXiv:1805.02216},
  year   = {2018}
}