%0 Journal Article
%T Degenerate Plebanski Sector and its Spin Foam Quantization
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergey
%Z 34 pages
%< avec comité de lecture
%Z L2C:12-013
%@ 0264-9381
%J Classical and Quantum Gravity
%I IOP Publishing
%V 29
%N 14
%P 145018
%8 2012-06-25
%D 2012
%Z 1202.5039
%R 10.1088/0264-9381/29/14/145018
%Z Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]Journal articles
%X 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.
%G English
%L hal-00673769
%U https://hal.science/hal-00673769
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021