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A new spin foam model for 4D gravity
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 andExpand
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Local subsystems in gauge theory and gravity
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 settingExpand
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Principle of relative locality
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 andExpand
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Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles
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 theExpand
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Group Field Theory: An Overview
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 groupExpand
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Twisted geometries: A geometric parametrisation of SU(2) phase space
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 thisExpand
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Diffeomorphisms and spin foam models
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 sumExpand
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BF Description of Higher-Dimensional Gravity Theories
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 anExpand
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Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
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 modelExpand
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Quadratic algebras and integrable systems
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
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