Monday, February 25, 2013

1302.5564 (A. Mikovic)

Spin-cube Models of Quantum Gravity    [PDF]

A. Mikovic
We study the state-sum models of quantum gravity based on a representation 2-category of the Poincare 2-group. We call them spin-cube models, since they are categorical generalizations of spin-foam models. A spin-cube state sum can be considered as a path integral for a constrained 2-BF theory, and depending on how the constraints are imposed, a spin-cube state sum can be reduced to a path integral for the area-Regge model with the edge-length constraints, or to a path integral for the Regge model. We also show that the effective actions for these spin-cube models have the correct classical limit.
View original: http://arxiv.org/abs/1302.5564

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