Wave Function of a Supersymmetric FRW Model with Vector Fields

TL;DR

This paper explores the quantum wave function of a supersymmetric cosmological model with vector fields, deriving constraints and identifying solutions including a no-boundary and a wormhole state.

Contribution

It introduces a supersymmetric FRW model with vector supermultiplet and finds explicit quantum solutions, including a no-boundary and wormhole interpretation.

Findings

Derived Lorentz and supersymmetry quantum constraints.

Found non-trivial solutions including no-boundary and wormhole states.

Provided insights into quantum cosmology within supergravity frameworks.

Abstract

A specific Friedmann-Roberstson-Walker (FRW) model derived from the theory of N=1 supergravity with gauged supermatter is considered in this paper. The supermatter content is restricted to a vector supermultiplet. The corresponding Lorentz and supersymmetry quantum constraints are then derived. Non-trivial solutions are subsquently found. A no-boundary solution is identified while another state may be interpreted as a wormhole solution.