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We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

HSZ Double Field Theory is a higher-derivative theory of gravity with exact and manifest T-duality symmetry. The first order corrections in the massless sector were shown to be governed solely by Chern-Simons deformations of the three-form…

High Energy Physics - Theory · Physics 2017-08-02 Eric Lescano , Diego Marques

The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of conformal Yano--Killing (CYK) two-form. The splitting leads to…

General Relativity and Quantum Cosmology · Physics 2022-03-15 Jacek Jezierski , Tomasz Smołka

We construct a covariant and gauge-invariant theory describing massive fractons in three spacetime dimensions, based on a symmetric rank-2 tensor field. The model includes a Chern-Simons-like term that plays a dual role: it generates a…

High Energy Physics - Theory · Physics 2025-10-28 Erica Bertolini , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh

We study the three-dimensional gravity with torsion given by the Mielke-Baekler (MB) model coupled to gravitational Chern-Simons term, and that possess electric charge described by Maxwell-Chern-Simons electrodynamics. We find and discuss…

General Relativity and Quantum Cosmology · Physics 2011-10-03 P. A. González , Yerko Vásquez

We obtain 2 + 1 dimensional gravity with cosmological constant which is coupled to gauge fields, using Maxwell and semi-simple extension of the Poincare gauge symmetric models (i.e. Chern-Simons models with these gauge groups). Also, we…

High Energy Physics - Theory · Physics 2015-06-18 S. Hoseinzadeh , A. Rezaei-Aghdam

We investigate one of the consequences of the twisted Poincare symmetry. We derive the charge conservation law and show that the equivalence principle is satisfied in the canonical noncommutative spacetime. We applied the twisted Poincare…

High Energy Physics - Theory · Physics 2008-11-26 Youngone Lee

We describe a charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids. Charge conservation is obtained from first principles, i.e., without the need for any post-processing or correction steps. This…

Numerical Analysis · Mathematics 2016-05-04 Haksu Moon , Fernando L. Teixeira , Yuri A. Omelchenko

Similarily as in the Ashtekar approach, the translational Chern-Simons term is, as a generating function, instrumental for a chiral reformulation of simple (N=1) supergravity. After applying the algebraic Cartan relation between spin and…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Eckehard W. Mielke , Alfredo Macias

The chiral scalar-tensor theory is an extension of the Chern-Simons modified gravity by introducing couplings between the first and second derivatives of the scalar field and parity-violating spacetime curvatures. A key feature of this…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Ze-Kai Yu , Lei Liu , Tao Zhu

A genuine gauge theory for the Poincar\'e, de Sitter or anti-de Sitter algebras can be constructed in (2n-1)-dimensional spacetime by means of the Chern-Simons form, yielding a gravitational theory that differs from General Relativity but…

Mathematical Physics · Physics 2015-05-28 Fernando Izaurieta , Ricardo Ramírez , Eduardo Rodríguez

Two canonical formulations of the Einstein gravity in 2+1 dimensions, namely, the ADM formalism and the Chern-Simons gravity, are investigated in the case of nonvanishing cosmological constant. General arguments for reducing phase spaces of…

High Energy Physics - Theory · Physics 2013-11-13 Kiyoshi Ezawa

Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed matter physics and mathematics. We have…

High Energy Physics - Theory · Physics 2014-08-29 Sarmistha Kumar

We find the excitations and construct the conserved charges ( mass and angular momentum) of the recently found Minimal Massive Gravity (MMG) in 2+1 dimensions in asymptotically Anti-de Sitter (AdS) spacetimes. The field equation of the…

High Energy Physics - Theory · Physics 2014-10-22 Bayram Tekin

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

We provide a general formulation for calculating conserved charges for solutions to generally covariant gravitational theories with possibly other internal gauge symmetries, in any dimensions and with generic asymptotic behaviors. These…

High Energy Physics - Theory · Physics 2024-07-19 K. Hajian , M. M. Sheikh-Jabbari

We study the covariant phase space of vacuum general relativity at the null boundary of causal diamonds. The past and future components of such a null boundary each have an infinite-dimensional symmetry algebra consisting of diffeomorphisms…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Venkatesa Chandrasekaran , Kartik Prabhu

A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a non trivial supersymmetric extension of the Poincar\'e group. In $2+1$ dimensions the gauge group…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maximo Banados , Ricardo Troncoso , Jorge Zanelli

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

In this note we explored the holographic relative entropy in the presence of the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the dual CFT. The theory trivially satisfies an entanglement first law. However, to…

High Energy Physics - Theory · Physics 2016-08-24 Arpan Bhattacharyya , Long Cheng , Ling-Yan Hung