On a Five-Dimensional Chern-Simons AdS Supergravity without gravitino

Abstract

Based on recent discussions on the so-called unconventional supersymmetry, we propose a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino fields and show that a residual local SUSY is preserved. We explore the properties of CS theories to find a solution to the field equations in a 5D manifold. With a Randall-Sundrum-type ansatz, we show that this particular dimensional reduction is compatible with SUSY, and some classes of 4D solutions are then analyzed.

Some references were added

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Cited by in corpus (5)

• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• Unconventional SUSY and Conventional Physics: A Pedagogical Review
• Chiral gauge theory and gravity from unconventional supersymmetry
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Fermionic Solutions of a Five-Dimensional Chern-Simons AdS Supergravity without Gravitino