Superconducting loop quantum gravity and the cosmological constant

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages; v2 matches the published version

Scientific paper

10.1016/j.physletb.2009.01.046

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.

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