TL;DR
This paper develops a supergravity-based quantum cosmology model leading to a super-Friedmann equation and a spinorial Wheeler-DeWitt-Dirac equation, proposing a symmetry mechanism to protect a small cosmological constant.
Contribution
It introduces a novel supergravity framework for quantum cosmology, deriving a super-Friedmann and a spinorial wave-function equation for the universe.
Findings
Cosmological constant breaks chiral symmetry in the wave-function space.
Symmetry may protect a small cosmological constant from quantum corrections.
Framework links supergravity with quantum cosmology and wave-function equations.
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.
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