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Holomorphic simplicity constraints for 4D spinfoam models
Within the framework of spinfoam models, we revisit the simplicity constraints reducing topological BF theory to 4D Riemannian gravity. We use the reformulation of SU(2) intertwiners and spin
Lifting SU(2) spin networks to projected spin networks
Projected spin network states are the canonical basis of quantum states of geometry for the recent EPRL-FK spinfoam models for quantum gravity introduced by Engle-Pereira-Rovelli-Livine and
Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
3D Loop Quantum Gravity with a vanishing cosmological constant can be related to the quantization of the $\textrm{SU}(2)$ BF theory discretized on a lattice. At the classical level, this discrete
Holomorphic Simplicity Constraints for 4d Riemannian Spinfoam Models
Starting from the reformulation of the classical phase space of Loop Quantum Gravity in terms of spinor variables and spinor networks, we build coherent spin network states and show how to use them
Frequency dependent nonlinear optical properties of molecules: Formulation and implementation in the HONDO program
This article summarizes the detailed equations for the time‐dependent Hartree–Fock treatment of nonlinear properties for perturbations made up of a static electric field and an oscillating field.
Discretization of 3d gravity in different polarizations
We study the discretization of 3d gravity with $\Lambda=0$ following the loop quantum gravity framework. In the process, we realize that different choices of polarization are possible. This allows to
Deformed phase space for 3d loop gravity and hyperbolic discrete geometries
We revisit the loop gravity space phase for 3D Riemannian gravity by algebraically constructing the phase space $T^*\mathrm{SU}(2)\sim\mathrm{ISO}(3)$ as the Heisenberg double of the Lie group
Quantum hyperbolic geometry in loop quantum gravity with cosmological constant
Loop Quantum Gravity (LQG) is an attempt to describe the quantum gravity regime. Introducing a non-zero cosmological constant $\Lambda$ in this context has been a withstanding problem. Other
Pushing Further the Asymptotics of the 6j-symbol
In the context of spin-foam models for quantum gravity, we investigate the asymptotical behavior of the (6j)-symbol at next-to-leading order. This gives the first quantum gravity correction to the
The 6j-symbol: Recursion, Correlations and Asymptotics
We study the asymptotic expansion of the {6j}-symbol using the Schulten?Gordon recursion relations. We focus on the particular case of the isosceles tetrahedron and we provide explicit formulas for
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