Supersymmetric FRW model and the ground state of supergravity

Abstract

In this work we construct the vacuum configuration of supergravity interacting with homogeneous complex scalar matter fields. The corresponding configuration is of the FRW model invariant under the $n=2$ local conformal time supersymmetry, which is a subgroup of the four dimensional space-time supersymmetry. We show, that the potential of the scalar matter fields is a function of the Kähler potential and of the arbitrary parameter $\alpha$. This parameter enumerates the vacuum states. The scalar matter potential induces the spontaneous breaking of supersymmetry in supergravity. On the quantum level our model is a specific supersymmetric quantum mechanics, which admits quantum states in supergravity, and the states with zero energy are described by the wave function of the FRW universe.

18 pages, Revtex, submitted to PRD

References in corpus (3)

• Model-Independent Analysis of Soft Terms in Effective Supergravity and in String Theory
• Supersymmetric Bianchi class A models
• Quantization of the Bianchi type-IX model in supergravity with a cosmological constant

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