On the uniqueness of kinematics of loop quantum cosmology
Abstract
The holonomyflux algebra \mathfrak {A} of loop quantum gravity is known to admit a natural representation that is uniquely singled out by the requirement of covariance under spatial diffeomorphisms. In the cosmological context, the requirement of spatial homogeneity naturally reduces \mathfrak {A} to a much smaller algebra, \mathfrak {A}_Red, used in loop quantum cosmology. In Bianchi I models, it is shown that the requirement of covariance under residual diffeomorphism symmetries again uniquely selects the representation of \mathfrak {A}_Red that has been commonly used. We discuss the close parallel between the two uniqueness results and also point out a difference.
Communicated by A Corichi
 Publication:

Classical and Quantum Gravity
 Pub Date:
 December 2012
 DOI:
 10.1088/02649381/29/24/242001
 arXiv:
 arXiv:1209.4374
 Bibcode:
 2012CQGra..29x2001A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 9 pages