# Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space

@article{Pietri1999BarrettCraneMF, title={Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space}, author={Roberto De Pietri and Laurent Freidel and Kirill Krasnov and Carlo Rovelli}, journal={Nuclear Physics}, year={1999}, volume={574}, pages={785-806} }

## 263 Citations

Spinfoam 2d quantum gravity and discrete bundles

- Mathematics
- 2005

In four dimensions (4D), general relativity (GR) can be formulated as a constrained BF theory; we show that the same is true in 2D. We describe a spinfoam quantization of this constrained BF…

Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity

- Mathematics
- 2012

In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and non-commutative…

2D manifold-independent spinfoam theory

- Physics
- 2001

A number of background-independent quantization procedures have recently been employed in 4D nonperturbative quantum gravity. We investigate and illustrate these techniques and their relation in the…

2D manifold-independent spinfoam theory

- Physics
- 2003

A number of background-independent quantization procedures have recently been employed in 4D nonperturbative quantum gravity. We investigate and illustrate these techniques and their relation in the…

3D spinfoam quantum gravity: matter as a phase of the group field theory

- Physics
- 2007

An effective field theory for matter coupled to three-dimensional quantum gravity was recently derived in the context of spinfoam models (Freidel and Livine 2006 Phys. Rev. Lett. 96 221301 (Preprint…

A Renormalizable SYK-Type Tensor Field Theory

- PhysicsAnnales Henri Poincaré
- 2018

In this paper we introduce a simple field theoretic version of the Carrozza–Tanasa–Klebanov–Tarnopolsky (CTKT) “uncolored” holographic tensor model. It gives a more familiar interpretation to the…

Positivity in Lorentzian Barrett–Crane models of quantum gravity

- Mathematics
- 2006

The Barrett–Crane models of Lorentzian quantum gravity are a family of spin foam models based on the Lorentz group. We show that for various choices of edge and face amplitudes, including the…

Lagrangian approach to the Barrett-Crane spin foam model

- Computer Science
- 2009

We provide the Barrett-Crane spin foam model for quantum gravity with a discrete action principle, consisting in the usual BF term with discretized simplicity constraints which in the continuum turn…

Spin foam quantization of $SO(4)$ Plebanski’s action

- Computer Science
- 2001

A spin foam model for Riemannian general relativity is introduced by systematically implementing constraints as restrictions on paths in the state-sum of the BF theory by treating classical Plebanski's action as a BF action supplemented by constraints.

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