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Dive into the research topics where Maité Dupuis is active.

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Featured researches published by Maité Dupuis.


Journal of Mathematical Physics | 2012

Holomorphic Lorentzian simplicity constraints

Maité Dupuis; Laurent Freidel; Etera R. Livine; Simone Speziale

We develop a 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, and show that they generate a closed algebra including gl(N,C) as a subalgebra. Then, we define the linear and quadratic simplicity constraints which reduce the spinor variables to (framed) 3d space-like polyhedra embedded in Minkowski spacetime. Finally, we introduce a new version of the simplicity constraints which (i) are holomorphic and (ii) Poisson-commute with each other, and show their equivalence to the linear and quadratic constraints.


Physical Review D | 2014

Observables in Loop Quantum Gravity with a cosmological constant

Maité Dupuis; Florian Girelli

An open issue in loop quantum gravity (LQG) is the introduction of a non-vanishing cosmological constant


Symmetry Integrability and Geometry-methods and Applications | 2012

Discrete Gravity Models and Loop Quantum Gravity: a Short Review ?

Maité Dupuis; James P. Ryan; Simone Speziale

\Lambda


Physical Review D | 2014

Towards the Turaev-Viro amplitudes from a Hamiltonian constraint

Valentin Bonzom; Maité Dupuis; Florian Girelli

. In 3d, Chern-Simons theory provides some guiding lines:


arXiv: General Relativity and Quantum Cosmology | 2012

Holomorphic Simplicity Constraints for 4d Riemannian Spinfoam Models

Maité Dupuis; Etera R. Livine

\Lambda


General Relativity and Gravitation | 2014

Deformed spinor networks for loop gravity: towards hyperbolic twisted geometries

Maité Dupuis; Florian Girelli; Etera R. Livine

appears in the quantum deformation of the gauge group. The Turaev-Viro model, which is an example of spin foam model is also defined in terms of a quantum group. By extension, it is believed that in 4d, a quantum group structure could encode the presence of


Physical Review D | 2012

Spinors group field theory and Voros star product: First contact

Maité Dupuis; Florian Girelli; Etera R. Livine

\Lambda\neq0


Physical Review D | 2013

Quantum hyperbolic geometry in loop quantum gravity with cosmological constant

Maité Dupuis; Florian Girelli

. In this article, we introduce by hand the quantum group


Physical Review D | 2017

Discretization of 3d gravity in different polarizations

Maité Dupuis; Laurent Freidel; Florian Girelli

\mathcal{U}_{q}(\mathfrak{su}(2))


arXiv: General Relativity and Quantum Cosmology | 2014

Deformed phase space for 3d loop gravity and hyperbolic discrete geometries

Valentin Bonzom; Maité Dupuis; Etera R. Livine; Florian Girelli

into the LQG framework, that is we deal with

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Etera R. Livine

École normale supérieure de Lyon

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Simone Speziale

Perimeter Institute for Theoretical Physics

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Laurent Freidel

Perimeter Institute for Theoretical Physics

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Valentin Bonzom

Perimeter Institute for Theoretical Physics

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