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$La o 0$ limit of 2+1 Quantum Gravity for arbitrary genus | | J.E.Nelson
; T.Regge
; | | Date: |
3 Apr 1995 | | Journal: | Gen.Rel.Grav. 27 (1995) 1001-1010 | | Subject: | gr-qc hep-th | | Abstract: | The abstract quantum algebra of observables for 2+1 gravity is analysed in the limit of small cosmological constant. The algebra splits into two sets with an explicit phase space representation;~one set consists of $6g-6$ {it commuting} elements which form a basis for an algebraic manifold defined by the trace and rank identities;~the other set consists of $6g-6$ tangent vectors to this manifold. The action of the quantum mapping class group leaves the algebra and algebraic manifold invariant. The previously presented representation for $g=2$ is analysed in this limit and reduced to a very simple form. The symplectic form for $g=2$ is computed. | | Source: | arXiv, gr-qc/9504001 | | Services: | Forum | Review | PDF | Favorites | |
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