Boundary partial regularity for a class of Dirac-harmonic maps

TL;DR

This paper establishes boundary partial regularity results for a specific class of coupled Dirac-harmonic maps, demonstrating regularity near the boundary under certain energy conditions.

Contribution

It proves boundary partial regularity for coupled Dirac-harmonic maps satisfying an energy monotonicity inequality, advancing understanding of their regularity properties.

Findings

Boundary partial regularity is established for the class of maps.

Regularity holds under an energy monotonicity inequality.

Results contribute to the theory of Dirac-harmonic maps near boundaries.

Abstract

In this paper, we prove the boundary partial regularity for a class of coupled Dirac-harmonic maps satisfying a certain energy monotonicity inequality near the boundary.