211 citations · 610 across the 17 of their papers we have counts for
10 papers · 1 filter
Space as a low-temperature regime of graphs
Florian Conrady
I define a statistical model of graphs in which 2-dimensional spaces arise at low temperature. The configurations are given by graphs with a fixed number of edges and the Hamiltoni…
Unitary irreducible representations of SL(2,C) in discrete and continuous SU(1,1) bases
Florian Conrady, Jeff Hnybida
We derive the matrix elements of generators of unitary irreducible representations of SL(2,C) with respect to basis states arising from a decomposition into irreducible representat…
Spin foams with timelike surfaces
Florian Conrady
Spin foams of 4d gravity were recently extended from complexes with purely spacelike surfaces to complexes that also contain timelike surfaces. In this article, we express the asso…
A spin foam model for general Lorentzian 4-geometries
Florian Conrady, Jeff Hnybida
We derive simplicity constraints for the quantization of general Lorentzian 4-geometries. Our method is based on the correspondence between coherent states and classical bivectors…
Quantum geometry from phase space reduction
Florian Conrady, Laurent Freidel
In this work we give an explicit isomorphism between the usual spin network basis and the direct quantization of the reduced phase space of tetrahedra. The main outcome is a formul…
On the semiclassical limit of 4d spin foam models
Florian Conrady, Laurent Freidel
We study the semiclassical properties of the Riemannian spin foam models with Immirzi parameter that are constructed via coherent states. We show that in the semiclassical limit th…