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In temporal gauge A_{0}=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing…

High Energy Physics - Theory · Physics 2015-05-14 Alexei Morozov , Andrey Smirnov

A second-order formalism for the theory of 3D spin-3 gravity is considered. Such a formalism is obtained by solving the torsion-free condition for the spin connection \omega^a_{\mu}, and substituting the result into the action integral. In…

High Energy Physics - Theory · Physics 2015-06-11 Ippei Fujisawa , Ryuichi Nakayama

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group. At small but fixed $M \ll N$, this system approaches the…

High Energy Physics - Theory · Physics 2015-06-16 Shamik Banerjee , Djordje Radicevic

We show that the asymptotic dynamics of three-dimensional gravity with positive cosmological constant is described by Euclidean Liouville theory. This provides an explicit example of a correspondence between de Sitter gravity and conformal…

High Energy Physics - Theory · Physics 2009-11-07 Sergio Cacciatori , Dietmar Klemm

An Abelian gauge theory describing dynamics of massive spin one bosons is constructed. This is achieved by appending to the Maxwell action, a gauge invariant mass term. The theory is quantised in temporal as well as Lorentz gauge, and the…

High Energy Physics - Theory · Physics 2016-01-27 Vivek M. Vyas , V. Srinivasan

We investigate the occurrence of ambiguities for Lorentz-violating gravitational Chern-Simons term. It turns out that this term is accompanied by a coefficient depending on an undetermined parameter, due to an arbitrariness in the choice of…

High Energy Physics - Theory · Physics 2008-11-26 M. Gomes , T. Mariz , J. R. Nascimento , E. Passos , A. Yu. Petrov , A. J. da Silva

Over the last two decades, motivations for modified gravity have emerged from both theoretical and observational levels. $f(R)$ and Chern-Simons gravity have received more attention as they are the simplest generalization. However, $f(R)$…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Avijit Chowdhury , Semin Xavier , S. Shankaranarayanan

We calculate perturbatively the pressure of a dilute gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory. Near Bose statistics , the divergences in the perturbative expansion are…

High Energy Physics - Theory · Physics 2009-10-22 M. A. Valle Basagoiti

Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ordinary fields. A parent action is introduced and the dual…

High Energy Physics - Theory · Physics 2010-04-05 O. F. Dayi

We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we…

High Energy Physics - Theory · Physics 2025-04-15 Calvin Yi-Ren Chen , Euihun Joung , Karapet Mkrtchyan , Junggi Yoon

We study vortex-like configuration in Maxwell-Chern-Simons Electrodynamics. Attention is paid to the similarity it shares with the Nielsen-Olesen solutions at large distances. A magnetic symmetry between a point-like and an azimuthal-like…

High Energy Physics - Theory · Physics 2010-02-04 L. P. Colatto , J. A. Helayel-Neto , M. Hott , Winder A. Moura-Melo

Fracton phases of matter constitute an interesting point of contact between condensed matter and high-energy physics. The limited mobility property of fracton quasiparticles finds applications in many different contexts, including quantum…

High Energy Physics - Theory · Physics 2024-11-01 Erica Bertolini , Alberto Blasi , Nicola Maggiore , Daniel Sacco Shaikh

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

In this article we consider $SU(2)$ Chern-Simons/Higgs theory coupled to gravity in three-dimensions. It is shown that for a cylindrically symmetric vortex both the Einstein equations and the field equations can be reduced to a set of…

High Energy Physics - Theory · Physics 2009-10-28 M. E. X. Guimarães , L. A. J. London

We initiate the study of a Chern-Simons action associated to the semi-direct sum of the Virasoro algebra with its coadjoint representation. This model extends the standard Chern-Simons formulation of three dimensional flat gravity and is…

High Energy Physics - Theory · Physics 2015-10-05 Glenn Barnich , Gaston Giribet , Mauricio Leston

A covariant twistor action for chiral higher-spin theory in (A)dS and flat space is constructed in terms of a holomorphic Chern-Simons theory on twistor space. The action reproduces all known cubic vertices of chiral higher-spin theory in…

High Energy Physics - Theory · Physics 2023-03-08 Tung Tran

We look at the generalisation of topologically massive gravity (TMG) to higher spins, specifically spin-3. We find a special "chiral" point for the spin-three, analogous to the spin-two example, which actually coincides with the usual…

High Energy Physics - Theory · Physics 2015-05-28 Arjun Bagchi , Shailesh Lal , Arunabha Saha , Bindusar Sahoo

In the present work, we study different aspects of Lorentz and CPT symmetry violation in extended massless QED. By following the observation that the 2+1 dimensional Maxwell-Chern-Simons theory can be originated from the 3+1 dimensional…

High Energy Physics - Theory · Physics 2009-01-01 F. A. Brito , L. S. Grigorio , M. S. Guimaraes , E. Passos , C. Wotzasek

It is well known that for a field theory with the Chern-Simons action, expectation values of Wilson line operators are topological invariants. The standard result is expressed in terms of the Gaussian linkings of closed curves defining the…

High Energy Physics - Theory · Physics 2007-05-23 Roman V. Buniy , Thomas W. Kephart

Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k \leftrightarrow {1 \over k}$. Here a vector non-abelian duality is found in the pure non-abelian…

High Energy Physics - Theory · Physics 2009-11-07 H. Garcia-Compean , O. Obregon , C. Ramirez
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