Energy quantization for a nonlinear sigma model with critical gravitinos

Jost, Jürgen; Wu, Ruijun; Zhu, Miaomiao

doi:10.1090/btran/36

Energy quantization for a nonlinear sigma model with critical gravitinos
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by Jürgen Jost, Ruijun Wu and Miaomiao Zhu HTML | PDF

Trans. Amer. Math. Soc. Ser. B 6 (2019), 215-244

Abstract:

We study some analytical and geometric properties of a two-dimensional nonlinear sigma model with gravitino which comes from supersymmetric string theory. When the action is critical w.r.t. variations of the various fields including the gravitino, there is a symmetric, traceless, and divergence-free energy-momentum tensor, which gives rise to a holomorphic quadratic differential. Using it we obtain a Pohozaev type identity and finally we can establish the energy identities along a weakly convergent sequence of fields with uniformly bounded energies.

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