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Universe 2018, 4(7), 81; https://doi.org/10.3390/universe4070081

Cosmological Constant from Condensation of Defect Excitations

Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada
Received: 30 May 2018 / Revised: 9 July 2018 / Accepted: 11 July 2018 / Published: 19 July 2018
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Abstract

A key challenge for many quantum gravity approaches is to construct states that describe smooth geometries on large scales. Here we define a family of (2+1)-dimensional quantum gravity states which arise from curvature excitations concentrated at point like defects and describe homogeneously curved geometries on large scales. These states represent therefore vacua for three-dimensional gravity with different values of the cosmological constant. They can be described by an anomaly-free first class constraint algebra quantized on one and the same Hilbert space for different values of the cosmological constant. A similar construction is possible in four dimensions, in this case the curvature is concentrated along string-like defects and the states are vacua of the Crane-Yetter model. We will sketch applications for quantum cosmology and condensed matter. View Full-Text
Keywords: Quantum Gravity; Loop Quantum Gravity; Loop Quantum Cosmology; Cosmological Constant; Quantum Groups; Topological Phases Quantum Gravity; Loop Quantum Gravity; Loop Quantum Cosmology; Cosmological Constant; Quantum Groups; Topological Phases
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Dittrich, B. Cosmological Constant from Condensation of Defect Excitations. Universe 2018, 4, 81.

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