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Related papers: Finite action principle for Chern-Simons AdS gravi…

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Chern-Simons modified gravity comprises the Einstein-Hilbert action and a higher-derivative interaction containing the Chern-Pontryagin density. We derive the analog of the Gibbons-Hawking-York boundary term required to render the Dirichlet…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Grumiller , R. Mann , R. McNees

A background-independent, Lorentz-covariant approach to compute conserved charges in odd-dimensional AdS gravity, alternative to the standard counterterms method, is presented. A set of boundary conditions on the asymptotic extrinsic and…

High Energy Physics - Theory · Physics 2007-05-23 P. Mora , R. Olea , R. Troncoso , J. Zanelli

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

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

We study static black hole solutions with locally spherical horizons coupled to non-Abelian field in $\mathcal{N}=4$ Chern-Simons AdS$_5$ supergravity. They are governed by three parameters associated to the mass, axial torsion and…

High Energy Physics - Theory · Physics 2021-11-23 Laura Andrianopoli , Gaston Giribet , Darío López Díaz , Olivera Miskovic

We show the universal form of the boundary term (Kounterterm series) which regularizes the Euclidean action and background-independent definition of conserved quantities for any Lovelock gravity theory with AdS asymptotics (including…

High Energy Physics - Theory · Physics 2008-11-26 Georgios Kofinas , Rodrigo Olea

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 study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Arcioni , Matthias Blau , Martin O'Loughlin

We study a symmetry-reduced sector of $AdS_3/\mathbb Z_2$ gravity formulated as an $SO(2,2)$ Chern--Simons theory on a 3D-manifold with toroidal boundary. The reduction is implemented by requiring a globally defined symmetry and restricting…

High Energy Physics - Theory · Physics 2026-05-18 Goffredo Chirco , Lucio Vacchiano , Patrizia Vitale

Some dynamical aspects of five-dimensional supergravity as a Chern-Simons theory for the SU(2,2|N) group, are analyzed. The gravitational sector is described by the Einstein-Hilbert action with negative cosmological constant and a…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Ricardo Troncoso , Jorge Zanelli

The solution space of three-dimensional asymptotically anti-de Sitter or flat Einstein gravity is given by the coadjoint representation of two copies of the Virasoro group in the former and the centrally extended BMS$_3$ group in the latter…

High Energy Physics - Theory · Physics 2017-12-20 Glenn Barnich , Hernan A. Gonzalez , Patricio Salgado-Rebolledo

Einstein gravity minimally coupled to a scalar field with a two-parameter Higgs-like self-interaction in three spacetime dimensions is recast in terms of a Chern-Simons form for the algebra $g^{+}\oplus g^{-}$ where, depending on the sign…

High Energy Physics - Theory · Physics 2023-02-22 Marcela Cárdenas , Oscar Fuentealba , Cristián Martínez , Ricardo Troncoso

We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Liat Maoz , Adam Schwimmer

For background gauge field configurations reducible to the form Amu = (A3, A(x)) where A3 is a constant, we provide an elementary derivation of the recently obtained result for the exact induced Chern-Simons (CS) effective action in QED3 at…

High Energy Physics - Theory · Physics 2009-10-30 I. J. R. Aitchison , C. D. Fosco

Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this paper, we study five-dimensional Chern-Simons AdS supergravity…

High Energy Physics - Theory · Physics 2008-11-26 Richard S. Garavuso , Francesco Toppan

We construct asymptotically AdS_5 solutions to 5-dimensional Einstein-Maxwell theory with Chern-Simons term which are dual to 4-dimensional gauge theories, including N=4 SYM theory, in the presence of a constant background magnetic field B…

High Energy Physics - Theory · Physics 2014-11-20 Eric D'Hoker , Per Kraus

We argue that a natural boundary condition for gravity in asymptotically AdS spaces is to hold the {\em renormalized} boundary stress tensor density fixed, instead of the boundary metric. This leads to a well-defined variational problem, as…

High Energy Physics - Theory · Physics 2016-12-28 Chethan Krishnan , Avinash Raju , P. N. Bala Subramanian

We show that the recently proposed DBI extension of new massive gravity emerges naturally as a counterterm in AdS$_4$. The resulting on-shell Euclidean action is independent of the cut-off at zero temperature. We also find that the same…

High Energy Physics - Theory · Physics 2011-05-09 Dileep P. Jatkar , Aninda Sinha

We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result,…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

In this paper we perform the Hamiltonian reduction of the action for three-dimensional Einstein gravity with vanishing cosmological constant using the Chern-Simons formulation and Bondi-van der Burg-Metzner-Sachs (BMS) boundary conditions.…

High Energy Physics - Theory · Physics 2020-03-18 Wout Merbis , Max Riegler