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Noncommutative three-dimensional gravity can be described in terms of a noncommutative Chern-Simons theory. We extend this structure and also propose an action for gravitational fields on an even dimensional noncommutative space. The action…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Nair

The gravitational memory effects of Chern-Simons modified gravity are considered in the asymptotically flat spacetime. If the Chern-Simons scalar does not directly couple with the ordinary matter fields, there are also displacement, spin…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

The geometric action on a certain orbit of the group of the area-preserving diffeomorphisms is considered, and it is shown, that it coincides with a special reduction of the three-dimensional Chern-Simons theory, under which group and space…

High Energy Physics - Theory · Physics 2009-10-28 R. P. Manvelyan , R. L. Mkrtchyan

A wide class of three-dimensional gravity models can be put into "Chern-Simons-like" form. We perform a Hamiltonian analysis of the general model and then specialise to Einstein-Cartan Gravity, General Massive Gravity, the recently proposed…

High Energy Physics - Theory · Physics 2014-12-15 Eric A. Bergshoeff , Olaf Hohm , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

One of the possible low-energy consequences of string theory is the addition of a Chern-Simons term to the standard Einstein-Hilbert action of general relativity. It can be argued that the quintessence field should couple to this…

The four dimensional Lorentz-breaking finite and determined Chern-Simons like action is generated as a one loop perturbative correction via an appropriate Lorentz-breaking coupling of the gauge field with the spinor field. Unlike the known…

High Energy Physics - Theory · Physics 2008-11-26 F. A. Brito , J. R. Nascimento , E. Passos , A. Yu. Petrov

A general definition of Chern-Simons actions in non-commutative geometry is proposed and illustrated in several examples. These are based on ``space-times'' which are products of even-dimensional, Riemannian spin manifolds by a discrete…

High Energy Physics - Theory · Physics 2009-10-28 A. H. Chamseddine , J. Fröhlich

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

Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field equations when the connections are flat. Generalized…

General Relativity and Quantum Cosmology · Physics 2015-07-01 D. C. Robinson

Within the framework of Chern-Simons gravity, a theory that dynamically violates parity, we analyze the power spectrum of gravitational waves in light of the damping effect due to the free streaming relativistic neutrinos and dark fermions.…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Jinglong Liu , Stephon Alexander , Antonino Marciano

We compute one-loop corrections to five-dimensional gauge and gravitational Chern-Simons terms induced by integrating out charged massive fields. The considered massive fields are spin-1/2 and spin-3/2 fermions, as well as complex two-forms…

High Energy Physics - Theory · Physics 2013-02-14 Federico Bonetti , Thomas W. Grimm , Stefan Hohenegger

The effective action of nonrelativistic fermions in 2+1 dimensions is analyzed at finite temperature and chemical potential in the presence of a uniform magnetic field perpendicular to the plane. The method used is a generalization of the…

Condensed Matter · Physics 2009-10-22 S. Sakhi

The role of Chern-Simons (CS) actions is reviewed, starting from the observation that all classical actions in Hamiltonian form can be viewed as 0+1 CS systems, in the same class with the coupling between the electromagnetic field and a…

High Energy Physics - Theory · Physics 2009-12-04 Jorge Zanelli

Mixed dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four-dimensional. Here we investigate dynamical breaking of chiral…

High Energy Physics - Phenomenology · Physics 2020-09-21 Juan Angel Casimiro Olivares , Luis Albino , Ana Julia Mizher , Alfredo Raya

Solar system observations have traditionally allowed for very stringent tests of Einstein's theory of general relativity. We here revisit the possibility of using these observations to constrain gravitational parity violation as…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Yuya Nakamura , Daiki Kikuchi , Kei Yamada , Hideki Asada , Nicolas Yunes

Dynamical Chern-Simons gravity (dCS) is a four-dimensional parity-violating extension of general relativity. Current models predict the effect of this extension to be negligible due to large decay constants $f$ close to the scale of grand…

High Energy Physics - Phenomenology · Physics 2022-07-13 Stephon Alexander , Cyril Creque-Sarbinowski

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Ciccolini , C. D. Fosco , F. A. Schaposnik

It is known that the four-dimensional effective field theory arising from heterotic string theory is general relativity with both a Chern-Simons and Gauss-Bonnet term. We study the propagation of gravitational waves in this combination of…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Tatsuya Daniel , Leah Jenks

We consider different large ${\cal N}$ limits of the one-dimensional Chern-Simons action $i\int dt~ \Tr (\del_0 +A_0)$ where $A_0$ is an ${\cal N}\times{\cal N}$ antihermitian matrix. The Hilbert space on which $A_0$ acts as a linear…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Nair

A local supersymmetric action for a (2+1)-dimensional system including gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The action is a Chern-Simons form for a connection of the OSp(2|2) group. All the fields…

High Energy Physics - Theory · Physics 2015-05-30 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli