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arXiv · 1110.4694

Poincare 2-group and quantum gravity

Aleksandar Mikovic·Marko Vojinovic
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Abstract

We show that General Relativity can be formulated as a constrained topological theory for flat 2-connections associated to the Poincaré 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.

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Aleksandar Mikovic, Marko Vojinovic. 2013-01-14. Poincare 2-group and quantum gravity. https://doi.org/10.1088/0264-9381%2F29%2F16%2F165003

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