Diffeomorphism invariant SU(N) gauge theories

Details Diffeomorphism invariant SU(N) gauge theories Diffeomorphism invariant SU(N) gauge theories

1999-01-26

arxiv.org/abs/hep-th/9901127v1

Class.Quant.Grav. 16 (1999) 1455-1461

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/0264-9381/16/4/031

We describe a class of diffeomorphism invariant SU(N) gauge theories in N^2 dimensions, together with some matter couplings. These theories have (N^2-3)(N^2-1) local degrees of freedom, and have the unusual feature that the constraint associated with time reparametrizations is identically satisfied. A related class of SU(N) theories in N^2-1 dimensions has the constraint algebra of general relativity, but has more degrees of freedom. Non-perturbative quantization of the first type of theory via SU(N) spin networks is briefly outlined.

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