Degenerate Plebanski Sector and its Spin Foam Quantization Auteur(s): Alexandrov S. (Article) Publié: Classical And Quantum Gravity, vol. 29 p.145018 (2012) Texte intégral en Openaccess : Ref HAL: hal-00673769_v1 Ref Arxiv: 1202.5039 DOI: 10.1088/0264-9381/29/14/145018 WoS: 000305810600019 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 4 Citations Résumé: 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. Commentaires: 34 pages |