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Related papers: Discretization of 3d gravity in different polariza…

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Using an explicit path integral approach we derive non-abelian bosonization and duality of 3D systems in the large $N$ limit. We first consider a fermionic $U(N)$ vector model coupled to level $k$ Chern-Simons theory, following standard…

High Energy Physics - Theory · Physics 2016-05-23 Nouman Muteeb , Leopoldo A. Pando Zayas , Fernando Quevedo

We study holographic renormalization of 3D minimal massive gravity using the Chern-Simons-like formulation of the model. We explicitly present Gibbons- Hawking term as well as all counterterms needed to make the action finite in terms of…

High Energy Physics - Theory · Physics 2016-02-17 Mohsen Alishahiha , Mohammad M. Qaemmaqami , Ali Naseh , Ahmad Shirzad

In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern-Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and…

High Energy Physics - Theory · Physics 2023-02-08 Patrick Concha , Evelyn Rodríguez , Gustavo Rubio , Paola Yañez

We discuss $SL(N,\mathbb{C})$ Chern-Simons higher spin gauge theories in Euclidean AdS$_3$. With appropriate boundary term, we derive the higher spin generalization of Schwarzian on-shell action. We investigate gravitationally dressed…

High Energy Physics - Theory · Physics 2019-09-04 Prithvi Narayan , Junggi Yoon

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

We study three dimensional O(N)_k and U(N)_k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet sector of the O(N) (U(N)) vector model, which is…

High Energy Physics - Theory · Physics 2015-05-30 Ofer Aharony , Guy Gur-Ari , Ran Yacoby

This paper introduces the basic concepts for physics-compatible discretization techniques. The paper gives a clear distinction between vectors and forms. Based on the difference between forms and pseudo-forms and the $\star$-operator which…

Numerical Analysis · Mathematics 2015-05-14 Artur Palha , Pedro Pinto Rebelo , René Hiemstra , Jasper Kreeft , Marc Gerritsma

In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which depends on the signature of space-time and the…

Quantum Algebra · Mathematics 2007-05-23 Bernd J Schroers

Spin precession in compact binaries is intricately tuned to the multipole structure of the underlying bodies. For black holes, violations of the no-hair theorems induced by modifications to general relativity correct the precession…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Nicholas Loutrel , Nicolas Yunes

We show that the thin wall limit of the thick domain wall associated with a sine-Gordon soliton in a single non-compactified patch of 5-dimensional spacetime explicitly yields the Randall-Sundrum localized gravity two patch brane, with its…

High Energy Physics - Theory · Physics 2007-05-23 Aharon Davidson , Philip D. Mannheim

Considering Chern-Simons like gravity theories in three dimensions as first order systems, we analyze the Hamiltonian structure of three theories Topological massive gravity, New massive gravity, and Zwei-Dreibein Gravity.We show that these…

High Energy Physics - Theory · Physics 2018-02-06 Mahdi Hajihashemi , Ahmad Shirzad

The super-Hamiltonian of 4-dimensional gravity as simplified by Ashtekar through the use of gauge potential and densitized triad variables can furthermore be succinctly expressed as a Poisson bracket between the volume element and other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chopin Soo

We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both U(1) and dipole gauge…

Strongly Correlated Electrons · Physics 2023-10-12 Xiaoyang Huang

The Hamiltonian formulation of the tetrad gravity in any dimension higher than two, using its first order form when tetrads and spin connections are treated as independent variables, is discussed and the complete solution of the three…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. M. Frolov , N. Kiriushcheva , S. V. Kuzmin

We study the localized free energy on S^3 of three-dimensional N=2 Chern-Simons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the…

High Energy Physics - Theory · Physics 2015-05-30 Antonio Amariti , Massimo Siani

Several approaches to the dynamics of loop quantum gravity involve discretizing the equations of motion. The resulting discrete theories are known to be problematic since the first class algebra of constraints of the continuum theory…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Rodolfo Gambini , Jorge Pullin

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime…

High Energy Physics - Theory · Physics 2015-06-11 H. S. Tan

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-dimensional Chern-Simons theory. Its topological origin…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We present an implementation of the loop representation of quantum gravity on a square lattice. Instead of starting from a classical lattice theory, quantizing and introducing loops, we proceed backwards, setting up constraints in the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hugo Fort , Rodolfo Gambini , Jorge Pullin

Dynamical Chern-Simons gravity is an extension of General Relativity in which the gravitational field is coupled to a scalar field through a parity-violating Chern-Simons term. In this framework, we study perturbations of spherically…

General Relativity and Quantum Cosmology · Physics 2013-12-04 C. Molina , Paolo Pani , Vitor Cardoso , Leonardo Gualtieri