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

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.

References in corpus (2)

• Liouville Theorems for Dirac-Harmonic Maps
• From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory. At the interface of theoretical physics, Riemannian geometry and nonlinear analysis

Cited by in corpus (3)

• A structure theorem for polyharmonic maps between Riemannian manifolds
• Harmonic maps with torsion
• Dirac-harmonic maps with potential