1202.5039 (Sergei Alexandrov)

Degenerate Plebanski Sector and its Spin Foam Quantization    [PDF]

Sergei Alexandrov

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.

View original: http://arxiv.org/abs/1202.5039