The Variational Field Equations of Cosmological Topologically Massive Supergravity
General Relativity and Quantum Cosmology
2021-07-07 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2007.09706,
title = {The Variational Field Equations of Cosmological Topologically Massive Supergravity},
author = {Tekin Dereli and Cem Yetişmişoğlu},
journal= {arXiv preprint arXiv:2007.09706},
year = {2021}
}