Maité Dupuis
University of Erlangen-Nuremberg
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Publication
Featured researches published by Maité Dupuis.
Journal of Mathematical Physics | 2012
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
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
Maité Dupuis; James P. Ryan; Simone Speziale
\Lambda
Physical Review D | 2014
Valentin Bonzom; Maité Dupuis; Florian Girelli
. In 3d, Chern-Simons theory provides some guiding lines:
arXiv: General Relativity and Quantum Cosmology | 2012
Maité Dupuis; Etera R. Livine
\Lambda
General Relativity and Gravitation | 2014
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
Maité Dupuis; Florian Girelli; Etera R. Livine
\Lambda\neq0
Physical Review D | 2013
Maité Dupuis; Florian Girelli
. In this article, we introduce by hand the quantum group
Physical Review D | 2017
Maité Dupuis; Laurent Freidel; Florian Girelli
\mathcal{U}_{q}(\mathfrak{su}(2))
arXiv: General Relativity and Quantum Cosmology | 2014
Valentin Bonzom; Maité Dupuis; Etera R. Livine; Florian Girelli
into the LQG framework, that is we deal with