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          Institute: MPI für Gravitationsphysik     Collection: Canonical and Covariant Dynamics of Quantum Gravity     Display Documents



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ID: 442626.0, MPI für Gravitationsphysik / Canonical and Covariant Dynamics of Quantum Gravity
Automorphisms in loop quantum gravity
Authors:Bahr, Benjamin; Thiemann, Thomas
Date of Publication (YYYY-MM-DD):2009-12-07
Title of Journal:Classical and Quantum Gravity
Volume:26
Issue / Number:23
Sequence Number of Article:235022
Review Status:not specified
Audience:Not Specified
Abstract / Description:We investigate a certain distributional extension of the group of spatial diffeomorphisms in loop quantum gravity. This extension, which is given by the automorphisms \mathcal {A}{\it ut}(\mathcal {P}) of the path groupoid \mathcal {P}, was proposed by Velhinho and is inspired by category theory. These automorphisms have much larger orbits than piecewise analytic diffeomorphisms. In particular, we will show that graphs with the same combinatorics but different generalized knotting classes can be mapped into each other. We describe the automorphism-invariant Hilbert space and comment on how a combinatorial formulation of LQG might arise.
External Publication Status:published
Document Type:Article
Communicated by:Bianca Dittrich
Affiliations:MPI für Gravitationsphysik/Canonical and Covariant Dynamics of Quantum Gravity
Identifiers:ISI:000271759400022 [ID No:1]
ISSN:0264-9381 [ID No:2]
DOI:10.1088/0264-9381/26/23/235022
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