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arXiv · 1703.06851

Symmetries and conservation laws of a nonlinear sigma model with gravitino

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

We show that the action functional of the nonlinear sigma model with gravitino considered in a previous article [18] is invariant under rescaled conformal transformations, super Weyl transformations and diffeomorphisms. We give a careful geometric explanation how a variation of the metric leads to the corresponding variation of the spinors. In particular cases and despite using only commutative variables, the functional possesses a degenerate super symmetry. The corresponding conservation laws lead to a geometric interpretation of the energy-momentum tensor and supercurrent as holomorphic sections of appropriate bundles.

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Jürgen Jost, Enno Keßler, Jürgen Tolksdorf, Ruijun Wu, Miaomiao Zhu. 2017-03-20. Symmetries and conservation laws of a nonlinear sigma model with gravitino. https://doi.org/10.1016/j.geomphys.2018.01.019

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