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Three-dimensional non-relativistic Hietarinta supergravity
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DOI：10.1140/epjc/s10052-025-13761-6.png)
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In this work we present the non-relativistic regime of the Hietarinta gravity theory and its extension to supergravity. At the bosonic level, we derive the non-relativistic version of the Hietarinta model by employing a contraction process and addressing the non-degeneracy of the invariant metric. To incorporate supersymmetry, we apply the Lie algebra expansion method to obtain the non-relativistic formulation of N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {N}}=2$$\end{document} Hietarinta supergravity. Our results reveal that the non-relativistic Hietarinta theory encompasses the extended Bargmann (super)gravity as a special case, yet it differs significantly from other existing non-relativistic (super)gravity models. Furthermore, we generalize our analysis to include a cosmological constant term in the non-relativistic Hietarinta (super)gravity action and examine its effects on the torsion structure.
Keyword:
EXTERNAL ELECTROMAGNETIC-FIELD
GROUP-THEORETICAL ANALYSIS
CHERN-SIMONS THEORIES
ELEMENTARY-PARTICLES
MAXWELL
SPACETIMES
CONSTANT
SYMMETRY
GRAVITY
期刊
IF:
4.8
论文数:
1.8W
被引数:
4.7W
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