Dirac-harmonic maps with potential

Abstract

We study the influence of an additional scalar potential on various geometric and analytic properties of Dirac-harmonic maps. We will create a mathematical wish list of the possible benefits from inducing the potential term and point out that the latter cannot be achieved in general. Finally, we focus on several potentials that are motivated from supersymmetric quantum field theory.

References in corpus (5)

• Liouville Theorems for Dirac-Harmonic Maps
• Short-time existence of the $\alpha$-Dirac-harmonic map flow and applications
• A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
• $\alpha$-Dirac-harmonic maps from closed surfaces
• Existence of (Dirac-)harmonic Maps from Degenerating (Spin) Surfaces