53 citations · 472 across the 22 of their papers we have counts for
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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…
Spinors and Voros star-product for Group Field Theory: First Contact
Maité Dupuis, Florian Girelli, Etera R. Livine
In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra s…
Holomorphic Lorentzian Simplicity Constraints
Maité Dupuis, Laurent Freidel, Etera R. Livine +1
We develop an Hamiltonian representation of the sl(2,C) algebra on a phase space consisting of N copies of twistors, or bi-spinors. We identify a complete set of global invariants,…
Spin Foam Models for Quantum Gravity and semi-classical limit
Maité Dupuis
The spinfoam framework is a proposal for a regularized path integral for quantum gravity. Spinfoams define quantum space-time structures describing the evolution in time of the spi…
Holomorphic Simplicity Constraints for 4d Spinfoam Models
Maité Dupuis, Etera R. Livine
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) intertwine…
Boundary State Stability under Spinfoam Evolution for the Quantum 4-Simplex
Maité Dupuis, Etera R. Livine
In the spinfoam framework for quantum gravity, we investigate the conditions to have a physical quantum state for the Barrett-Crane model for the 4d quantum gravity path integral.…