Tuesday, January 15, 2013

1110.4694 (Aleksandar Mikovic et al.)

Poincare 2-group and quantum gravity    [PDF]

Aleksandar Mikovic, Marko Vojinovic
We show that General Relativity can be formulated as a constrained topological theory for flat 2-connections associated to the Poincar\'e 2-group. Matter can be consistently coupled to gravity in this formulation. We also show that the edge lengths of the spacetime manifold triangulation arise as the basic variables in the path-integral quantization, while the state-sum amplitude is an evaluation of a colored 3-complex, in agreement with the category theory results. A 3-complex amplitude for Euclidean quantum gravity is proposed.
View original: http://arxiv.org/abs/1110.4694

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