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13 papers · 2 filters
Holomorphic Simplicity Constraints for 4d Riemannian Spinfoam Models
Maité Dupuis, Etera R. Livine
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 sho…
Classical Setting and Effective Dynamics for Spinfoam Cosmology
Etera R. Livine, Mercedes Martín-Benito
We explore how to extract effective dynamics from loop quantum gravity and spinfoams truncated to a finite fixed graph, with the hope of modeling symmetry-reduced gravitational sys…
Dynamics for a simple graph using the U(N) framework for loop quantum gravity
Enrique F. Borja, Jacobo Diaz-Polo, Laurent Freidel +2
The implementation of the dynamics in loop quantum gravity (LQG) is still an open problem. Here, we discuss a tentative dynamics for the simplest class of graphs in LQG: Two vertic…
A new Hamiltonian for the Topological BF phase with spinor networks
Valentin Bonzom, Etera R. Livine
We describe fundamental equations which define the topological ground states in the lattice realization of the SU(2) BF phase. We introduce a new scalar Hamiltonian, based on recen…
Loop gravity in terms of spinors
Etera R. Livine, Johannes Tambornino
We show that loop gravity can equally well be formulated in in terms of spinorial variables (instead of the group variables which are commonly used), which have recently been shown…
Relational Observables in Gravity: a Review
Johannes Tambornino
We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the…