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Witten has presented an argument for the vanishing of the cosmological constant in 2+1 dimensions. This argument is crucially tied to the specific properties of (2+1)-dimensional gravity. We argue that this reasoning can be deconstructed to…

High Energy Physics - Theory · Physics 2010-04-05 Vishnu Jejjala , Robert G. Leigh , Djordje Minic

In order to explore some general features of modified theories of gravity which involve higher derivatives and spontaneous Lorentz and/or diffeomorphism symmetry breaking, we study the recently proposed new version of covariant…

General Relativity and Quantum Cosmology · Physics 2013-04-16 Masud Chaichian , Josef Klusoň , Markku Oksanen , Anca Tureanu

Spatially homogeneous models in quantum supergravity with a nonvanishing cosmological constant are studied. A class of exact nontrivial solutions of the supersymmetry and Lorentz constraints is obtained in terms of the Chern-Simons action…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Robert Graham , Andras Csordas

In the framework of the minimal quartet-metric gravity/systogravity, a scalar graviton/systolon is stated as a universal dark component, with supplementary manifestations in the different contexts either as dark matter or dark energy. An…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Yury F. Pirogov

The usual Chern-Simons extension of Einstein gravity theory consists in adding a squared Riemann contribution to the Hilbert Lagrangian, which means that a square-curvature term is added to the linear-curvature leading term governing the…

General Physics · Physics 2021-03-30 Luca Fabbri

The Chern-Simons (CS) form evolved from an obstruction in mathematics into an important object in theoretical physics. In fact, the presence of CS terms in physics is more common than one may think: they seem to play an important role in…

High Energy Physics - Theory · Physics 2015-06-11 Jorge Zanelli

We propose a new approach to the Cosmological Constant Problem which makes essential use of an extra dimension. A model is presented in which the Standard Model vacuum energy ``warps'' the higher-dimensional spacetime while preserving 4D…

High Energy Physics - Theory · Physics 2009-09-15 Nima Arkani-Hamed , Savas Dimopoulos , Nemanja Kaloper , Raman Sundrum

We find the general fully non-linear solution of topologically massive supergravity admitting a Killing spinor. It is of plane-wave type, with a null Killing vector field. Conversely, we show that all solutions with a null Killing vector…

High Energy Physics - Theory · Physics 2011-04-18 G. W. Gibbons , C. N. Pope , E. Sezgin

We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichm\"uller space of Riemann surfaces that we refer to as…

High Energy Physics - Theory · Physics 2023-10-11 Scott Collier , Lorenz Eberhardt , Mengyang Zhang

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

We show that conformal Chern-Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor, even when the former is restricted to…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , B. Cvetkovic , S. Ertl , D. Grumiller , N. Johansson

The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

High Energy Physics - Theory · Physics 2009-09-25 Luigi Pilo

The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional manifold, as well as on its boundary. This scalar field,…

High Energy Physics - Theory · Physics 2017-05-04 Kumar Abhinav , Samir K. Paul

We present a class of modified-gravity theories which we call ultra-local models. We add a scalar field, with negligible kinetic terms, to the Einstein-Hilbert action. We also introduce a conformal coupling to matter. This gives rise to a…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Philippe Brax , Luca Alberto Rizzo , Patrick Valageas

The Chern-Simons functional $S_{\rm CS}$ is an exact solution to the Ashtekar-Hamilton-Jacobi equation of general relativity with a nonzero cosmological constant. In this paper we consider $S_{\rm CS}$ in Bianchi type IX cosmology with…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jorma Louko

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 how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic deformation method for constructing exact solutions in four and…

General Physics · Physics 2017-10-19 Sergiu I. Vacaru

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce…

High Energy Physics - Theory · Physics 2009-10-28 Mark Burgess

We construct an intersecting brane configuration in six-dimensional space with one extra space-like and one extra time-like dimensions. With a certain additional symmetry imposed on the extra space-time we have found that effective…

High Energy Physics - Theory · Physics 2009-11-07 Z. Berezhiani , M. Chaichian , A. B. Kobakhidze , Z. -H. Yu

By allowing torsion into the gravitational dynamics one can promote the cosmological constant, $\Lambda$, to a dynamical variable in a class of quasi-topological theories. In this paper we perform a mini-superspace quantization of these…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Joao Magueijo , Tom Zlosnik , Simone Speziale