Symmetries and conservation laws of a nonlinear sigma model with gravitino

Jürgen Jost; Enno Keßler; Jürgen Tolksdorf; Ruijun Wu; Miaomiao Zhu

doi:10.1016/j.geomphys.2018.01.019

Symmetries and conservation laws of a nonlinear sigma model with gravitino

Jürgen Jost
, Enno Keßler
, Jürgen Tolksdorf
, Ruijun Wu^*
, Miaomiao Zhu

^*此作品的通讯作者

Max Planck Institute for Mathematics in the Sciences
Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

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.

源语言	英语
页（从-至）	185-198
页数	14
期刊	Journal of Geometry and Physics
卷	128
DOI	https://doi.org/10.1016/j.geomphys.2018.01.019
出版状态	已出版 - 6月 2018
已对外发布	是

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title = "Symmetries and conservation laws of a nonlinear sigma model with gravitino",

abstract = "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{\textendash}momentum tensor and supercurrent as holomorphic sections of appropriate bundles.",

keywords = "Dirac-harmonic map, Energy{\textendash}momentum tensor, Gravitino, Nonlinear sigma model, Supercurrent, Symmetry",

author = "J{\"u}rgen Jost and Enno Ke{\ss}ler and J{\"u}rgen Tolksdorf and Ruijun Wu and Miaomiao Zhu",

note = "Publisher Copyright: {\textcopyright} 2018 The Author(s)",

year = "2018",

month = jun,

doi = "10.1016/j.geomphys.2018.01.019",

language = "English",

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T1 - Symmetries and conservation laws of a nonlinear sigma model with gravitino

AU - Jost, Jürgen

AU - Keßler, Enno

AU - Tolksdorf, Jürgen

AU - Wu, Ruijun

AU - Zhu, Miaomiao

PY - 2018/6

Y1 - 2018/6

N2 - 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.

AB - 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.

KW - Dirac-harmonic map

KW - Energy–momentum tensor

KW - Gravitino

KW - Nonlinear sigma model

KW - Supercurrent

KW - Symmetry

UR - https://www.scopus.com/pages/publications/85043377579

U2 - 10.1016/j.geomphys.2018.01.019

DO - 10.1016/j.geomphys.2018.01.019

M3 - Article

AN - SCOPUS:85043377579

SN - 0393-0440

VL - 128

SP - 185

EP - 198

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Symmetries and conservation laws of a nonlinear sigma model with gravitino

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