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- Publications
- Influence

A new spin foam model for 4D gravity

- L. Freidel, K. Krasnov
- Physics
- 13 August 2007

Starting from Plebanski formulation of gravity as a constrained BF theory we propose a new spin foam model for 4D Riemannian quantum gravity that generalizes the well-known Barrett–Crane model and… Expand

Local subsystems in gauge theory and gravity

- W. Donnelly, L. Freidel
- Physics
- 18 January 2016

A bstractWe consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting… Expand

Principle of relative locality

- G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman, L. Smolin
- Physics
- 5 January 2011

We propose a deepening of the relativity principle according to which the invariant arena for nonquantum physics is a phase space rather than spacetime. Descriptions of particles propagating and… Expand

Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles

- L. Freidel, David Louapre
- Physics
- 12 January 2004

We show how to properly gauge fix all the symmetries of the Ponzano–Regge model for 3D quantum gravity. This amounts to doing explicit finite computations for transition amplitudes. We give the… Expand

Group Field Theory: An Overview

- L. Freidel
- Physics, Mathematics
- 2 May 2005

We give a brief overview of the properties of a higher-dimensional generalization of matrix model which arise naturally in the context of a background approach to quantum gravity, the so-called group… Expand

Twisted geometries: A geometric parametrisation of SU(2) phase space

- L. Freidel, S. Speziale
- Physics
- 15 January 2010

A cornerstone of the loop quantum gravity program is the fact that the phase space of general relativity on a fixed graph can be described by a product of SU(2) cotangent bundles per edge. In this… Expand

Diffeomorphisms and spin foam models

- L. Freidel, David Louapre
- Physics
- 29 November 2002

Abstract We study the action of diffeomorphisms on spin foam models. We prove that in 3 dimensions, there is a residual action of the diffeomorphisms that explains the naive divergences of state sum… Expand

BF Description of Higher-Dimensional Gravity Theories

- L. Freidel, K. Krasnov, R. Puzio
- Mathematics, Physics
- 17 January 1999

It is well known that, in the first-order formalism, pure three-dimensional gravity is just the BF theory. Similarly, four-dimensional general relativity can be formulated as BF theory with an… Expand

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

- R. Pietri, L. Freidel, K. Krasnov, C. Rovelli
- Physics
- 19 July 1999

Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett–Crane quantum gravity model… Expand

Quadratic algebras and integrable systems

- L. Freidel, J. Maillet
- Physics
- 1 June 1991

Abstract We present new classical and quantum quadratic algebras that generalize the usual R -matrix and quantum group structures of integrable systems. In their classical and infinitesimal limit,… Expand