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arXiv · 1610.02289

Regularity of Solutions of the Nonlinear Sigma Model with Gravitino

Jürgen Jost·Enno Keßler·Jürgen Tolksdorf·Ruijun Wu·Miaomiao Zhu
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Abstract

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-harmonic maps by gravitino fields. The system of Euler--Lagrange equations of the two-dimensional nonlinear sigma model with gravitino is calculated explicitly. The gravitino terms pose additional analytic difficulties to show smoothness of its weak solutions which are overcome using Rivi\`ere's regularity theory and Riesz potential theory.

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Jürgen Jost, Enno Keßler, Jürgen Tolksdorf, Ruijun Wu, Miaomiao Zhu. 2016-10-07. Regularity of Solutions of the Nonlinear Sigma Model with Gravitino. https://doi.org/10.1007/s00220-017-3001-z

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