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The abelian Chern-Simons theory is perturbed by introducing local gauge-invariant interaction terms depending on the curvature. The computation of the correlation function of two Wilson lines for two smooth closed nonintersecting curves is…

High Energy Physics - Theory · Physics 2009-10-31 V. E. R. Lemes , C. A. Linhares , S. P. Sorella , L. C. Q. Vilar , D. G. G. Sasaki

Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given space-time…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a…

High Energy Physics - Theory · Physics 2015-06-18 Alejandro Barranco , Jorge G. Russo

It has been recently pointed out that black holes of constant curvature with a "chronological singularity" can be constructed in any spacetime dimension. These black holes share many common properties with the 2+1 black hole. In this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maximo Banados

Chern-Simons modified gravity models in 4-dimensions are shown to be special cases of low energy effective string models to first order in the string constant.

General Relativity and Quantum Cosmology · Physics 2012-05-01 M. Adak , T. Dereli

We study the Chern-Simons black holes in d-dimensions and we calculate analytically the quasi-normal modes of the scalar perturbations and we show that they depend on the highest power of curvature present in the Chern-Simons theory. We…

High Energy Physics - Theory · Physics 2014-11-20 Pablo Gonzalez , Eleftherios Papantonopoulos , Joel Saavedra

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

[abridged] The detection of gravitational waves from extreme-mass-ratio (EMRI) binaries, comprising a stellar-mass compact object orbiting around a massive black hole, is one of the main targets for low-frequency gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Priscilla Canizares , Jonathan R. Gair , Carlos F. Sopuerta

Recent work on the loop representation of quantum gravity has revealed previously unsuspected connections between knot theory and quantum gravity, or more generally, 3-dimensional topology and 4-dimensional generally covariant physics. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John Baez

We study the phase transitions of three-dimensional $\mathcal{N}=2$ $U(N)$ Chern-Simons theory on $\mathbb{S}^3$ with a varied number of massive fundamental hypermultiplets and with a Fayet-Iliopoulos parameter. We characterize the various…

High Energy Physics - Theory · Physics 2019-09-10 Leonardo Santilli , Miguel Tierz

In a previous paper, we derived the quantum states of a Dirac particle in a circular, intense magnetic field in the limit of low momentum perpendicular to the field with the purpose of giving a quantum description of the trajectory of an…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Guillaume Voisin , Silvano Bonazzola , Fabrice Mottez

A Wilson loop is defined, in 4-D pure Einstein gravity, as the trace of the holonomy of the Christoffel connection or of the spin connection, and its invariance under the symmetry transformations of the action is showed (diffeomorphisms and…

High Energy Physics - Theory · Physics 2009-10-22 Giovanni Modanese

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

We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that leads naturally to a one-loop exact quantization of this BF…

Mathematical Physics · Physics 2020-05-08 Owen Gwilliam , Brian R. Williams

We perform a linear stability analysis of dynamical Chern-Simons modified gravity in the geometric optics approximation and find that it is linearly stable on the backgrounds considered. Our analysis also reveals that gravitational waves in…

General Relativity and Quantum Cosmology · Physics 2013-10-09 David Garfinkle , Frans Pretorius , Nicolas Yunes

We relate the geometrical and the Chern-Simons description of (2+1)-dimensional gravity for spacetimes of topology $R\times S_g$, where $S_g$ is an oriented two-surface of genus $g>1$, for Lorentzian signature and general cosmological…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Meusburger

Three dimensional SU(2) Chern-Simons theory has been studied as a topological field theory to provide a field theoretic description of knots and links in three dimensions. A systematic method has been developed to obtain the link-invariants…

High Energy Physics - Theory · Physics 2009-10-22 R. K. Kaul , T. R. Govindarajan

We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the…

High Energy Physics - Theory · Physics 2008-02-03 Scott Axelrod , I. M. Singer

Neutron stars are sensitive laboratories for testing general relativity, especially when considering deviations where velocities are relativistic and gravitational fields are strong. One such deviation is described by dynamical,…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Nicolas Yunes , Dimitrios Psaltis , Feryal Ozel , Abraham Loeb

We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order…

Differential Geometry · Mathematics 2014-09-04 Jørgen Ellegaard Andersen , Niels Leth Gammelgaard