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We consider renormalizability of topologically massive gravity in three space-time dimensions. With a usual parametrization of the metric tensor, we establish the statement that topologically massive gravity is in fact renormalizable. In…

High Energy Physics - Theory · Physics 2009-08-14 Ichiro Oda

In this work we consider a model for gravity in 4-dimensional space-time originally proposed by A. Chamseddine which may be derived by a 5-dimensional Chern-Simons theory. Its topological origin makes it an interesting candidate for an…

General Relativity and Quantum Cosmology · Physics 2018-03-06 Bruno Neves

Topological gravity (in the sense that it is metric-independent) in a $2n$-dimensional spacetime can be formulated as a gauge field theory for the AdS gauge group $SO(2,2n-1)$ by adding a multiplet of scalar fields. These scalars can break…

High Energy Physics - Theory · Physics 2023-08-11 Marija Dimitrijević Ćirić , Dušan Đorđević , Dragoljub Gočanin , Biljana Nikolić , Voja Radovanović

For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is…

High Energy Physics - Theory · Physics 2018-08-10 Frederik Lauf , Ivo Sachs

We show that minimal massive 3d gravity (MMG), as well as the topological massive gravity, are particular cases of a more general `minimal massive gravity' theory (with a single massive propagating mode) arising upon spontaneous breaking of…

High Energy Physics - Theory · Physics 2020-07-08 Dmitry Chernyavsky , Nihat Sadik Deger , Dmitri Sorokin

We have recently introduced a new and very simple action for three-dimensional massive gravity. This action is written in a first order formulation where the triad and the connection play a manifestly symmetric role, but where internal…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Marc Geiller , Karim Noui

We extend our recent work on the quasilocal formulation of conserved charges to a theory of gravity containing a gravitational Chern-Simons term. As an application of our formulation, we compute the off-shell potential and quasilocal…

High Energy Physics - Theory · Physics 2013-12-16 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De~Donder-Weyl Hamiltonian formulation of gauge gravity. The action is quadratic in both, the torsion and the…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Vladimir Denk , David Vasak , Johannes Kirsch

We give a detailed account of the free field spectrum and the Newtonian limit of the linearized "massive" (Pauli-Fierz), "topologically massive" (Einstein-Hilbert-Chern-Simons) gravity in 2+1 dimensions about a Minkowski spacetime. For a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ozgur Sarioglu , Bayram Tekin

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

In this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincar\'e…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Diego Peñafiel , Evelyn Rodríguez

We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical…

General Relativity and Quantum Cosmology · Physics 2009-05-29 M. Blagojević , B. Cvetković

Dynamical mass generation of a two-component fermion in $QED_3$ with a Chern-Simons term is investigated by solving the Schwinger-Dyson equation formulated in the lowest ladder approximation. Dependence of the dynamical fermion mass on a…

High Energy Physics - Theory · Physics 2009-10-31 Toyoki Matsuyama , Hideko Nagahiro , Satoko Uchida

Linearized gravity is considered as an ordinary gauge field theory. This implies the need for gauge fixing in order to have well defined propagators. Only after having achieved this, the most general mass term is added. The aim of this…

High Energy Physics - Theory · Physics 2017-10-25 Alberto Blasi , Nicola Maggiore

We consider various models of three-dimensional gravity with torsion or nonmetricity (metric affine gravity), and show that they can be written as Chern-Simons theories with suitable gauge groups. Using the groups ISO(2,1), SL(2,C) or…

High Energy Physics - Theory · Physics 2009-11-11 Sergio L. Cacciatori , Marco M. Caldarelli , Alex Giacomini , Dietmar Klemm , Diego S. Mansi

Gravitons naturally acquire topological masses in the 3d topologically massive gravity (TMG) theory that includes the gravitational Chern-Simons term. We present a Weyl-transformed TMG (WTMG) formulation by introducing an unphysical dilaton…

High Energy Physics - Theory · Physics 2026-04-13 Hong-Xu Liu , Zi-Xuan Yi , Hong-Jian He

A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields,…

High Energy Physics - Theory · Physics 2015-05-18 M. Botta Cantcheff , J. A. Helayel-Neto

We describe the construction of $2+1$-dimensional toplogically massive adS gravity with ${\mathcal{N}}$-extended supersymmetry in superspace by means of introducing a compensating hypermultiplet for the super-Weyl invariance. For…

High Energy Physics - Theory · Physics 2016-09-28 Frederik Lauf , Ivo Sachs

We propose a mechanism to give mass to tensor matter field which preserve the U(1) symmetry. We introduce a complex vector field that couples with the tensor in a topological term. We also analyze the influence of the kinetic terms of the…

High Energy Physics - Theory · Physics 2011-07-19 L. Gonzaga , M. S. Cunha , R. R. Landim

We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm
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