D = 1 supergravity and quantum cosmology

Abstract

Using a D = 1 supergravity framework I construct a super-Friedmann equation for an isotropic and homogenous universe including dynamical scalar fields. In the context of quantum theory this becomes an equation for a wave-function of the universe of spinorial type, the Wheeler-DeWitt- Dirac equation. It is argued that a cosmological constant breaks a certain chiral symmetry of this equation, a symmetry in the Hilbert space of universe states, which could protect a small cosmological constant from being affected by large quantum corrections.

9 pages including references; contribution to SYMPHYS XVII, Yerevan (Armenia), July 2017

References in corpus (1)

• Canonical D = 1 supergravity framework for FLRW cosmology

Cited by in corpus (3)

• Simulating 0+1 Dimensional Quantum Gravity on Quantum Computers: Mini-Superspace Quantum Cosmology and the World Line Approach in Quantum Field Theory
• Supersymmetric higher-derivative models in quantum cosmology
• On FLRW reductions of N=1 supergravity