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The purpose of this article is to study the correspondence between $3d$-gravity and the Chern-Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group.…

Mathematical Physics · Physics 2023-07-20 Santiago Capriotti

We review the issue of gauge and gravitational anomalies with backgrounds, maybe offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT…

High Energy Physics - Theory · Physics 2015-05-20 Pablo Mora

We construct a two-dimensional action principle invariant under a spin-three extension of BMS$_3$ group. Such a theory is obtained through a reduction of Chern-Simons action with a boundary. This procedure is carried out by imposing a set…

High Energy Physics - Theory · Physics 2015-06-19 Hernan A. Gonzalez , Miguel Pino

We investigate the Chern-Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional…

High Energy Physics - Theory · Physics 2024-12-03 Büşra Dedeoğlu , Mehmet Ozkan , Özgür Sarıoğlu

We address some issues in higher-derivative gauged supergravity with Chern-Simons terms, focusing on the five-dimensional case. We discuss the variational problem with Dirichlet boundary conditions as well as holographic renormalization in…

High Energy Physics - Theory · Physics 2023-07-26 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

Chern-Simons gravities are theories with a lagrangian given by a Chern-Simons form constructed from a space-time gauge group. In previous investigations we showed that, for some special field configurations that are solutions of the field…

High Energy Physics - Theory · Physics 2015-06-22 Pablo Mora

In this work a new set of boundary conditions for Chern Simons gravity that lead to a fully gauge invariant action is analyzed. This particular form of the action reproduces the standard results of black hole thermodynamics and determines…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rodrigo Aros

Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Marc Geiller

We present the first example of $\mathcal{N}=(2,2)$ formulation for the extended higher-spin $AdS_3$ supergravity with the most general boundary conditions as an extension of the $\mathcal{N} =\,(1,1)$ work, discovered recently by us [1].…

High Energy Physics - Theory · Physics 2022-05-24 H. T. Özer , Aytül Filiz

We reconsider the Hamiltonian reduction of the action for three dimensional AdS supergravity and $W_3$ higher spin AdS gravity in the Chern-Simons formulation under asymptotically anti-de Sitter boundary conditions. We show that the…

High Energy Physics - Theory · Physics 2023-07-12 Wout Merbis , Turmoli Neogi , Arash Ranjbar

We use the Regge-Teitelboim method to treat surface integrals in gauge theories to find global charges in Chern-Simons theory. We derive the affine and Virasoro generators as global charges associated with symmetries of the boundary. The…

High Energy Physics - Theory · Physics 2009-12-30 Maximo Banados

We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the…

High Energy Physics - Theory · Physics 2010-04-21 Mohsen Alishahiha , Reza Fareghbal , Amir E. Mosaffa

This paper is motivated by a gauged Schrodinger equation in dimension 2 including the so-called Chern-Simons term. The radially symmetric case leads to an elliptic problem with a nonlocal defocusing term, in competition with a local…

Analysis of PDEs · Mathematics 2013-07-31 Alessio Pomponio , David Ruiz

It is known that the solutions of pure classical 5D gravity with $AdS_5$ asymptotics can describe strongly coupled large N dynamics in a universal sector of 4D conformal gauge theories. We show that when the boundary metric is flat we can…

High Energy Physics - Theory · Physics 2009-11-18 Rajesh Kumar Gupta , Ayan Mukhopadhyay

In this paper we consider a generalization of zwei-dreibein gravity with a chern-Simons term associated to a constraint term which fixed the torsion. We count the local degrees of freedom of this model using Hamiltonian analysis and show…

High Energy Physics - Theory · Physics 2015-09-30 M. R. Setare , H. Adami

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable…

High Energy Physics - Theory · Physics 2019-06-26 L. Andrianopoli , B. L. Cerchiai , P. A. Grassi , M. Trigiante

We investigate the Brown-York stress tensor for curvature-squared theories. This requires a generalized Gibbons-Hawking term in order to establish a well-posed variational principle, which is achieved in a universal way by reducing the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Erik Tonni

A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum…

High Energy Physics - Theory · Physics 2009-10-31 L. D. Paniak

We perform the perturbation analysis of the Chern-Simons modified gravity around the AdS$_4$ spacetimes (its curvature radius $\ell$) to obtain the critical gravity. In general, we could not obtain an explicit form of perturbed Einstein…

High Energy Physics - Theory · Physics 2015-05-30 Taeyoon Moon , Yun Soo Myung

We verify the consistency of the G\"odel-type solutions within the four-dimensional Chern-Simons modified gravity with the non-dynamical Chern-Simons coefficient, for different forms of matter including dust, fluid, scalar field and…

High Energy Physics - Theory · Physics 2016-08-23 P. J. Porfirio , J. B. Fonseca-Neto , J. R. Nascimento , A. Yu. Petrov , J. Ricardo , A. F. Santos