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
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
-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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Dittrich, B. Cosmological Constant from Condensation of Defect Excitations. Universe 2018, 4, 81.
Dittrich B. Cosmological Constant from Condensation of Defect Excitations. Universe. 2018; 4(7):81.
Dittrich, Bianca. 2018. "Cosmological Constant from Condensation of Defect Excitations." Universe 4, no. 7: 81.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
Multiple requests from the same IP address are counted as one view.