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Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
R. De Pietri, L. Freidel, K. Krasnov +1
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 quantu…
Isolated Horizons: the Classical Phase Space
A. Ashtekar, A. Corichi, K. Krasnov
A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are ``isolated'' near future time-like infinity or for a finite time interva…
Simple Spin Networks as Feynman Graphs
Laurent Freidel, Kirill Krasnov
We show how spin networks can be described and evaluated as Feynman integrals over an internal space. This description can, in particular, be applied to the so-called simple SO(D)…
Quanta of Geometry and Rotating Black Holes
Kirill Krasnov
In the loop approach to quantum gravity the spectra of operators corresponding to such geometrical quantities as length, area and volume become quantized. However, the size of aris…
BF Description of Higher-Dimensional Gravity Theories
L. Freidel, K. Krasnov, R. Puzio
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 th…