Symmetries and conservation laws of a nonlinear sigma model with gravitino

JOURNAL OF GEOMETRY AND PHYSICS

卷:128

Article

Jost, Juergen¹  Kessler, Enno¹  Tolksdorf, Juergen¹  Wu, Ruijun¹  Zhu, Miaomiao² 

[1] Max Planck Inst Math Sci, Inselstr 22-26, D-04103 Leipzig, Germany

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Dongchuan Rd 800, Shanghai 200240, Peoples R China

关键词: Nonlinear sigma model;    Gravitino;    Symmetry;    Energy-momentum tensor;    Supercurrent;    Dirac-harmonic map;   

DOI  :  10.1016/j.geomphys.2018.01.019

来源: Elsevier

【 摘 要 】

We study the symmetries and invariances of a version of the action functional of the nonlinear sigma model with gravitino, as considered in Jost et al. (2017). The action is invariant under rescaled conformal transformations, super Weyl transformations, and diffeomorphisms. In particular cases the functional possesses a degenerate supersymmetry. The corresponding conservation laws lead to a geometric interpretation of the energy-momentum tensor and supercurrent as holomorphic sections of appropriate bundles. (C) 2018 The Author(s). Published by Elsevier B.V.

【 授权许可】

Free