41 citations · 459 across the 51 of their papers we have counts for
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Five dimensional Chern-Simons Gravity for the expanded (anti)-de Sitter gauge group C
Matheus M. A. Paixão, Olivier Piguet
We study the Hamiltonian dynamics of a five-dimensional Chern-Simons theory for the gauge algebra of Izaurieta, Rodriguez and Salgado, the so-called S-expansion of the 5D…
Chern-Simons Gravity in Four Dimensions
Ivan Morales, Bruno Neves, Zui Oporto +1
Five dimensional Chern-Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to General Relativity with cosmological constant. We consider…
Dimensionally compactified Chern-Simon theory in 5D as a gravitation theory in 4D
Ivan Morales, Bruno Neves, Zui Oporto +1
We propose a gravitation theory in 4 dimensional space-time obtained by compacting to 4 dimensions the five dimensional topological Chern-Simons theory with the gauge group SO(1,5)…
A Topological-like Model for Gravity in 4D Space-time
Ivan Morales, Bruno Neves, Zui Oporto +1
In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-…
Loop quantization of a 3D Abelian BF model with sigma-model matter
Diego C. M. Mendonça, Olivier Piguet
The main goal of this work is to explore the symmetries and develop the dynamics associated to a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constr…
Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter
Clisthenis P. Constantinidis, Zui Oporto, Olivier Piguet
We present a complete quantization of Lorentzian D=1+2 gravity with cosmological constant, coupled to a set of topological matter fields. The approach of Loop Quantum Gravity is us…
Complete loop quantization of a dimension 1+2 Lorentzian gravity theory
Rodrigo M S Barbosa, Clisthenis P Constantinidis, Zui Oporto +1
De Sitter Chern-Simons gravity in D = 1 + 2 spacetime is known to possess an extension with a Barbero-Immirzi like parameter. We find a partial gauge fixing which leaves a compact…
Quantization of Lorentzian 3d Gravity by Partial Gauge Fixing
Rodrigo M. S. Barbosa, Clisthenis P Constantinidis, Zui Oporto +1
D = 2+1 gravity with a cosmological constant has been shown by Bonzom and Livine to present a Barbero-Immirzi like ambiguity depending on a parameter. We make use of this fact to s…
Loop Quantization of the Supersymmetric Two-Dimensional BF Model
Clisthenis P. Constantinidis, Ruan Couto, Ivan Morales +1
In this paper we consider the quantization of the 2d BF model coupled to topological matter. Guided by the rigid supersymmetry this system can be viewed as a super-BF model, where…
The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach
Clisthenis P. Constantinidis, Gabriel Luchini, Olivier Piguet
As a laboratory for loop quantum gravity, we consider the canonical quantization of the three-dimensional Chern-Simons theory on a noncompact space with the topology of a cylinder.…
Quantization of the Jackiw-Teitelboim model
Clisthenis P. Constantinidis, Alejandro Perez, Olivier Piguet
We study the phase space structure of the Jackiw-Teitelboim model in its connection variables formulation where the gauge group of the field theory is given by local SL(2,R) (or SU…
Canonical Analysis of the Jackiw-Teitelboim Model in the Temporal Gauge. I. The Classical Theory
Clisthenis P. Constantinidis, Jose Andre Lourenco, Ivan Morales +2
As a preparation for its quantization in the loop formalism, the 2-dimensional gravitation model of Jackiw and Teitelboim is analysed in the classical canonical formalism. The dyna…