On conservation laws for the supersymmetric sigma model

Abstract

We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isometries, where we mostly focus on the spherical case. In addition, we discuss several geometric and analytic applications of the latter.

References in corpus (2)

• Liouville Theorems for Dirac-Harmonic Maps
• Some aspects of Dirac-harmonic maps with curvature term

Cited by in corpus (5)

• On interpolating sesqui-harmonic maps between Riemannian manifolds
• A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
• Some analytic results on interpolating sesqui-harmonic maps
• Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
• Dirac-harmonic maps with potential