Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-10
Class.Quant.Grav.16:797-812,1999
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, Revtex, submitted to PRD
Scientific paper
10.1088/0264-9381/16/3/012
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 K\"ahler 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.
Rosales Juan J.
Socorro José
Tkach Vladimir I.
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