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 …

The mathematical version of the action functional of the nonlinear supersymmetric model of
quantum field theory couples a map from a Riemann surface into a Riemannian manifold …

Dirac-harmonic map is a mathematical model of supersymmetric σ σ-model arising in
quantum filed theory. In this paper, we prove the existence and multiplicity of Dirac-harmonic …

We study the evolution equations for a regularized version of Dirac-harmonic maps from
closed Riemannian surfaces. We establish the existence of a global weak solution for the …

< jats: p> In this paper, we consider Morse theory for perturbed Dirac-harmonic maps into flat
tori. We show that Morse homology can be defined for some classes of perturbations, and …

We study the qualitative behavior of nonlinear Dirac equations arising in quantum field
theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas …

Coarse regularity of solutions to a nonlinear sigma-model with $$L^p$$ gravitino | Calculus of
Variations and Partial Differential Equations Skip to main content SpringerLink Log in Menu …

In this article, we develop energy methods for a large class of linear and nonlinear Dirac-
type equations in two-dimensional Minkowski space. We will derive existence results for …

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 …

We prove the global existence of Dirac-wave maps with curvature term with small initial data
on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth …