Coarse Regularity of Solutions to a Nonlinear Sigma-model with~$L^p$~gravitino

Abstract

The regularity of weak solutions of a two-dimensional nonlinear sigma model with coarse gravitino is shown. Here the gravitino is only assumed to be in $L^p$ for some $p>4$. The precise regularity results depend on the value of $p$.

15 pages, 3 figures. With typos corrected and some references updated. To appear in Calculus of Variations and PDE

References in corpus (2)

• Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
• Super Riemann surfaces, metrics, and gravitinos

Cited by in corpus (1)

• Dirac-harmonic maps with potential