title: Group field theory with noncommutative metric variables.
abstract: We introduce a dual formulation of group field theories as a type of noncommutative field theories, making their simplicial geometry manifest. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories. We give a new definition of the Barrett-Crane model for gravity by imposing the simplicity constraints directly at the level of the group field theory action.
authors.affiliation: Albert Einstein Institute, D-14476 Golm, Germany. aristide.baratin@aei.mpg.de
authors.forename: Aristide
authors.initials: A
authors.lastname: Baratin
authors.forename: Daniele
authors.initials: D
authors.lastname: Oriti