53 citations · 472 across the 22 of their papers we have counts for
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Topological field theory plus local Lorentz symmetry is gravity
Maïté Dupuis, Florian Girelli, Oleksandra Hrytseniak +1
Four-dimensional gravity admits many equivalent formulations - metric, Einstein-Cartan, teleparallel, McDowell-Mansouri, among others - each offering distinct advantages, particula…
Spinor Representation of the Hamiltonian Constraint in 3D LQG with a Non-zero Cosmological Constant
Valentin Bonzom, Maïté Dupuis, Qiaoyin Pan
We develop in a companion article the kinematics of three-dimensional loop quantum gravity in Euclidean signature and with a negative cosmological constant, focusing in particular…
Origin of the quantum group symmetry in 3d quantum gravity
Maïté Dupuis, Laurent Freidel, Florian Girelli +2
It is well-known that quantum groups are relevant to describe the quantum regime of 3d gravity. They encode a deformation of the gauge symmetries parametrized by the value of the c…
First-order formulation of teleparallel gravity and dual loop gravity
Maïté Dupuis, Florian Girelli, Abdulmajid Osumanu +1
There are at least two ways to encode gravity into geometry: Einstein's general theory of relativity (GR) for the metric tensor, and teleparallel gravity, where torsion as opposed…
Discretization of 3d gravity in different polarizations
Maïté Dupuis, Laurent Freidel, Florian Girelli
We study the discretization of 3d gravity with following the loop quantum gravity framework. In the process, we realize that different choices of polarization are possible. T…
Deformed Spinor Networks for Loop Gravity: Towards Hyperbolic Twisted Geometries
Maité Dupuis, Florian Girelli, Etera R. Livine
In the context of a canonical quantization of general relativity, one can deform the loop gravity phase space on a graph by replacing the T*SU(2) phase space attached to each edge…
Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
Valentin Bonzom, Maité Dupuis, Florian Girelli
3D Loop Quantum Gravity with a vanishing cosmological constant can be related to the quantization of the BF theory discretized on a lattice. At the classical level…
Deformed phase space for 3d loop gravity and hyperbolic discrete geometries
Valentin Bonzom, Maité Dupuis, Florian Girelli +1
We revisit the loop gravity space phase for 3D Riemannian gravity by algebraically constructing the phase space as the Heisenberg double of t…
Observables in Loop Quantum Gravity with a cosmological constant
Maïté Dupuis, Florian Girelli
An open issue in loop quantum gravity (LQG) is the introduction of a non-vanishing cosmological constant . In 3d, Chern-Simons theory provides some guiding lines: appears in…
Quantum hyperbolic geometry in loop quantum gravity with cosmological constant
Maite Dupuis, Florian Girelli
Loop Quantum Gravity (LQG) is an attempt to describe the quantum gravity regime. Introducing a non-zero cosmological constant in this context has been a withstanding problem. O…
Discrete Gravity Models and Loop Quantum Gravity: a Short Review
Maite Dupuis, James P. Ryan, Simone Speziale
We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on…
Spinors and Twistors in Loop Gravity and Spin Foams
Maite Dupuis, Simone Speziale, Johannes Tambornino
Spinorial tools have recently come back to fashion in loop gravity and spin foams. They provide an elegant tool relating the standard holonomy-flux algebra to the twisted geometry…
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.…
Revisiting the Simplicity Constraints and Coherent Intertwiners
Maité Dupuis, Etera R. Livine
In the context of loop quantum gravity and spinfoam models, the simplicity constraints are essential in that they allow to write general relativity as a constrained topological BF…
The 6j-symbol: Recursion, Correlations and Asymptotics
Maite Dupuis, Etera R. Livine
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 explic…