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arXiv · 2007.09706

The Variational Field Equations of Cosmological Topologically Massive Supergravity

Tekin Dereli·Cem Yetişmişoğlu
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Abstract

We discuss the formulation of cosmological topologically massive (simple) supergravity theory in three-dimensional Riemann-Cartan space-times. We use the language of exterior differential forms and the properties of Majorana spinors on 3-dimensional space-times to explicitly demonstrate the local supersymmetry of the action density involved. Coupled field equations that are complete in both of their bosonic and fermionic sectors are derived by a first order variational principle subject to a torsion-constraint imposed by the method of Lagrange multipliers. We compare these field equations with the partial results given in the literature using a second order variational formalism.

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Tekin Dereli, Cem Yetişmişoğlu. 2020-07-19. The Variational Field Equations of Cosmological Topologically Massive Supergravity. https://doi.org/10.1002/prop.202100009

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