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In this paper we shall consider an axionic Chern-Simons corrected $f(R)$ gravity theoretical framework, and we shall study the chirality of the generated primordial gravitational waves. Particularly, we shall consider two main axion models,…

General Relativity and Quantum Cosmology · Physics 2022-06-08 S. D. Odintsov , V. K. Oikonomou

We study the dynamics of a 2+1 dimensional relativistic viscous conformal fluid in Minkowski spacetime. Such fluid solutions arise as duals, under the "gravity/fluid correspondence", to 3+1 dimensional asymptotically anti-de Sitter (AAdS)…

High Energy Physics - Theory · Physics 2014-01-15 Stephen R. Green , Federico Carrasco , Luis Lehner

We analyze the most general case of third-order Chern-Simons-like theories of massive 3D gravity. Results show the conditions for finding the unitary regions on the parameter space. There exists $(n-1)$th order theories on the boundary of a…

High Energy Physics - Theory · Physics 2020-10-09 Sinan Sevim , M. Salih Zöğ

We introduce a novel reformulation of three-dimensional gravity in terms of divergenceless vector frames, inspired by the double copy for Chern-Simons theory. This formulation is on-shell equivalent to conventional 3D gravity and provides a…

High Energy Physics - Theory · Physics 2026-03-31 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with fourdimensional target space and degenerate Poisson tensor of rank 2. Thus two constants of motion (Casimir…

High Energy Physics - Theory · Physics 2009-11-10 D. Grumiller , W. Kummer

We study the effect of a (3+1)-dimensional Chern-Simons electrodynamics on the equations governing the dynamics of magnetized plasma and fields. In this model, the Chern-Simons (CS) part consists of a dynamical pseudo-scalar field whose…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Patrick Das Gupta

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

We perform the Dirac hamiltonian analysis of a four-dimensional gauge theory of gravity with an action of topological type, which generalizes some well-known two-dimensional models. We show that, in contrast with the two-dimensional case,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Mignemi

Kaluza-Klein reduction of the 3-dimensional gravitational Chern-Simons term leads to a 2-dimensional theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.

High Energy Physics - Theory · Physics 2016-11-09 Alfredo Iorio

A Dirac spinor is coupled to topologically massive gravity and the D=3 dimensional action is reduced to D=2 dimensions with a metric that includes both the electromagnetic potential 1-form A and a dilaton scalar \phi. The dimensionnaly…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Adak , T. Dereli

Pure gravity in (2+1)-dimensions with negative cosmological constant is classically equivalent Chern-Simons gauge theory with gauge group SO(2; 2), which may be realized on chiral and antichiral gauge connections. This paper looks at…

High Energy Physics - Theory · Physics 2008-11-26 David A. Lowe , Shubho Roy

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

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

Classical and quantum Chern-Simons with gauge group $\text{U}(1)^N$ were classified by Belov and Moore in \cite{belov_moore}. They studied both ordinary topological quantum field theories as well as spin theories. On the other hand a…

High Energy Physics - Theory · Physics 2009-09-29 Spencer D. Stirling

We study three-dimensional Chern-Simons theory with complex gauge group SL(2,C), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds. We show that, in the presence of a single…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

We discuss some interesting holographical aspects of three-dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, R) \times SL(4, R) Chern-Simons theory. Using a recently found technique, we…

High Energy Physics - Theory · Physics 2015-06-03 H. S. Tan

In the context of the formalism proposed by Stelle-West and Grignani-Nardelli, it is shown that Chern-Simons supergravity can be consistently obtained as a dimensional reduction of (3+1)-dimensional supergravity, when written as a gauge…

High Energy Physics - Theory · Physics 2011-10-11 Patricio Salgado , Fernando Izaurieta , Eduardo Rodriguez

Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the rank-two symmetric and antisymmetric…

High Energy Physics - Theory · Physics 2018-10-19 Changha Choi , Diego Delmastro , Jaume Gomis , Zohar Komargodski

We study the tetrad formulation of Chern-Simons (CS) modified gravity, which adds a Pontryagin term to the Einstein-Hilbert action with a spacetime-dependent coupling field. We first verify that CS modified gravity leads to a theory with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephon Alexander , Nicolas Yunes

In 2+1 dimensional gravity, a dreibein and the compatible spin connection can represent a space-time containing a closed spacelike surface $\Sigma$ only if the associated SO(2,1) bundle restricted to $\Sigma$ has the same non-triviality…

High Energy Physics - Theory · Physics 2009-10-22 K. Amano , S. Higuchi