Why two makes it more attractive than just with one... or Bianchi class-A models and Reissner-Nordstr\"om Black Holes in Quantum N=2 Supergravity

TL;DR

This paper explores how Maxwell fields in quantum N=2 Supergravity influence fermion number conservation in Bianchi class-A models and Reissner-Nordström black holes, revealing fermionic sector mixing and supersymmetric quantum states.

Contribution

It demonstrates the impact of Maxwell fields on fermion number non-conservation and introduces supersymmetric Chern-Simons functionals as quantum states in these models.

Findings

Maxwell fields cause fermion number non-conservation in Bianchi models.

Quantum states are expressed as exponentials of supersymmetric Chern-Simons functionals.

Analysis of reduced Reissner-Nordström models highlights supersymmetry features.

Abstract

Bianchi class-A models and Reissner-Nordst\"rom (RN) black hole scenarios are considered from the point of view of quantum N=2 Supergravity. It is shown that the presence of Maxwell fields in the supersymmetry constraints implies a non-conservation of the fermion number present in Bianchi class-A models. This effect corresponds to a mixing between different (Lorentz invariant) fermionic sectors in the wave function of the Universe. Quantum states are constituted by exponentials of N=2 supersymmetric Chern-Simons functionals. With respect to the RN case, we analyse some problems and features present in a reduced model with supersymmetry. Lines of subsequent research work are then provided.