Superconducting loop quantum gravity and the cosmological constant

TL;DR

This paper proposes that in loop quantum gravity, the cosmological constant is exponentially suppressed due to a nonperturbative effect involving a holographic Fermi-liquid theory, with gravitational configurations behaving like composite fermions forming Cooper pairs.

Contribution

It introduces a novel mechanism linking loop quantum gravity, holographic Fermi-liquid theory, and superconductivity concepts to explain the smallness of the cosmological constant.

Findings

Cosmological constant is exponentially suppressed in the proposed model.

Degenerate gravitational configurations behave as composite fermions.

Cooper pairs are described as wormholes on a de Sitter boundary.

Abstract

We argue that the cosmological constant is exponentially suppressed in a candidate ground state of loop quantum gravity as a nonperturbative effect of a holographic Fermi-liquid theory living on a two-dimensional spacetime. Ashtekar connection components, corresponding to degenerate gravitational configurations breaking large gauge invariance and CP symmetry, behave as composite fermions that condense as in Bardeen-Cooper-Schrieffer theory of superconductivity. Cooper pairs admit a description as wormholes on a de Sitter boundary.