TY - JOUR
T1 - On the uniqueness of kinematics of loop quantum cosmology
AU - Ashtekar, Abhay
AU - Campiglia, Miguel
PY - 2012/12/21
Y1 - 2012/12/21
N2 - The holonomy-flux algebra 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 A to a much smaller algebra,ARed, used in loop quantum cosmology. In Bianchi Imodels, it is shown that the requirement of covariance under residual diffeomorphism symmetries again uniquely selects the representation of ARed that has been commonly used. We discuss the close parallel between the two uniqueness results and also point out a difference.
AB - The holonomy-flux algebra 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 A to a much smaller algebra,ARed, used in loop quantum cosmology. In Bianchi Imodels, it is shown that the requirement of covariance under residual diffeomorphism symmetries again uniquely selects the representation of ARed that has been commonly used. We discuss the close parallel between the two uniqueness results and also point out a difference.
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U2 - 10.1088/0264-9381/29/24/242001
DO - 10.1088/0264-9381/29/24/242001
M3 - Article
AN - SCOPUS:84870323811
SN - 0264-9381
VL - 29
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 24
M1 - 242001
ER -