Degenerate Plebanski Sector and its Spin Foam Quantization

Details Degenerate Plebanski Sector and its Spin Foam Quantization Degenerate Plebanski Sector and its Spin Foam Quantization

2012-02-22

arxiv.org/abs/1202.5039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages

Scientific paper

We show that the degenerate sector of Spin(4) Plebanski formulation of four-dimensional gravity is exactly solvable and describes covariantly embedded SU(2) BF theory. This fact provides its spin foam quantization and allows to test various approaches of imposing the simplicity constraints. Our analysis suggests a unique method of imposing the constraints which leads to a consistent and well defined spin foam model.

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