Supersymmetric FRW model and the ground state of supergravity
نویسنده
چکیده
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 α. 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. PACS numbers: 11.15.-q, 11.30.Pb, 11.30.Qc, 12.60.Jv. ∗E-mail: [email protected] †E-mail: [email protected] ‡E-mail: [email protected]
منابع مشابه
Supersymmetric Action for FRW Model with Complex Matter Field
On the basis of the local n = 2 supersymmetry we construct the supersymmetric action for a set of complex scalar supermultiplets in the FRW model. This action corresponds to the dilaton-axion and chiral components of supergravity theory. PACS Number(s): 04.60. Kz, 04.65. + e, 12.60. Jv., 98.80. Hw. ∗e-mail [email protected] †e-mail: [email protected]
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