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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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–momentum tensor and supercurrent as holomorphic sections of appropriate bundles.

Original language	English
Pages (from-to)	185-198
Number of pages	14
Journal	Journal of Geometry and Physics
Volume	128
DOIs	https://doi.org/10.1016/j.geomphys.2018.01.019
Publication status	Published - Jun 2018
Externally published	Yes

Keywords

Dirac-harmonic map
Energy–momentum tensor
Gravitino
Nonlinear sigma model
Supercurrent
Symmetry

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10.1016/j.geomphys.2018.01.019

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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–momentum tensor and supercurrent as holomorphic sections of appropriate bundles.",

keywords = "Dirac-harmonic map, Energy–momentum tensor, Gravitino, Nonlinear sigma model, Supercurrent, Symmetry",

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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

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DO - 10.1016/j.geomphys.2018.01.019

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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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Keywords

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