Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Dupuis, Maïté"'
We consider a deformation of 3D lattice gauge theory in the canonical picture, first classically, based on the Heisenberg double of $\operatorname{SU}(2)$, then at the quantum level. We show that classical spinors can be used to define a fundamental
Externí odkaz:
http://arxiv.org/abs/2205.13352
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 on the spinorial representation which is well-known at zero cosmologic
Externí odkaz:
http://arxiv.org/abs/2111.14471
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 cosmological constant. They appear as a form of regularization either t
Externí odkaz:
http://arxiv.org/abs/2006.10105
The $q$-deformed loop gravity framework was introduced as a canonical formalism for the Turaev-Viro model (with $\Lambda < 0$), allowing to quantize 3D Euclidean gravity with a (negative) cosmological constant using a quantum deformation of the gauge
Externí odkaz:
http://arxiv.org/abs/1907.11074
Publikováno v:
Class. Quantum Grav. 37 (2020) 085023
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 to curvature encodes the dynamics of the gravitational degrees of free
Externí odkaz:
http://arxiv.org/abs/1906.02801
Publikováno v:
Phys. Rev. D 96, 086017 (2017)
We study the discretization of 3d gravity with $\Lambda=0$ following the loop quantum gravity framework. In the process, we realize that different choices of polarization are possible. This allows to introduce a new discretization based on the triad
Externí odkaz:
http://arxiv.org/abs/1701.02439
Publikováno v:
Gen.Rel.Grav. 46 (2014) 11
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 by SL(2,C) seen as a phase space. This deformation is supposed to enco
Externí odkaz:
http://arxiv.org/abs/1403.7482
Publikováno v:
Phys. Rev. D 90, 104038 (2014)
3D Loop Quantum Gravity with a vanishing cosmological constant can be related to the quantization of the $\textrm{SU}(2)$ BF theory discretized on a lattice. At the classical level, this discrete model characterizes discrete flat geometries and its p
Externí odkaz:
http://arxiv.org/abs/1403.7121
We revisit the loop gravity space phase for 3D Riemannian gravity by algebraically constructing the phase space $T^*\mathrm{SU}(2)\sim\mathrm{ISO}(3)$ as the Heisenberg double of the Lie group $\mathrm{SO}(3)$ provided with the trivial cocyle. Tackli
Externí odkaz:
http://arxiv.org/abs/1402.2323
Autor:
Dupuis, Maïté, Girelli, Florian
Publikováno v:
Phys. Rev. D 90, 104037 (2014)
An open issue in loop quantum gravity (LQG) is the introduction of a non-vanishing cosmological constant $\Lambda$. In 3d, Chern-Simons theory provides some guiding lines: $\Lambda$ appears in the quantum deformation of the gauge group. The Turaev-Vi
Externí odkaz:
http://arxiv.org/abs/1311.6841