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We study conformal properties of local terms such as contact terms and semi-local terms in correlation functions of a conformal field theory. Not all of them are universal observables but they do appear in physically important correlation…

High Energy Physics - Theory · Physics 2020-10-28 Yu Nakayama

Reducing a 3-dimensional Chern-Simons term by a symmetry yields other topologically interesting structures. Specifically, reducing by radial symmetry results in a 1-dimensional quantum mechanical model, which has recently been used in an…

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S. -Y. Pi

We make a detailed investigation on the quantum corrections to Chern-Simons spinor electrodynamics. Starting from Chern-Simons spinor quantum electrodynamics with the Maxwell term $-1/(4\gamma){\int}d^3x F_{\mu\nu}F^{\mu\nu}$ and by…

High Energy Physics - Theory · Physics 2011-09-13 M. Chaichian , W. F. Chen , V. Ya. Fainberg

We explore the dynamics of three-dimensional Chern-Simons gauge theories with N=2 supersymmetry and matter in the fundamental and adjoint representations of the gauge group. Realizing the gauge theories of interest in a setup of threebranes…

High Energy Physics - Theory · Physics 2014-11-18 Vasilis Niarchos

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all…

High Energy Physics - Theory · Physics 2019-07-17 Francesco Benini

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

High Energy Physics - Theory · Physics 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical…

High Energy Physics - Theory · Physics 2014-11-18 Noriaki Ikeda

The Lorentz- and CPT-violating Chern-Simons extension of electrodynamics is considered. In the context of N=4 supergravity in four spacetime dimensions, it is argued that cosmological solutions can generate this extension. Within…

High Energy Physics - Theory · Physics 2016-11-09 Ralf Lehnert

The coupling between Chern-Simons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does…

High Energy Physics - Theory · Physics 2015-05-13 Jose D. Edelstein , Jorge Zanelli

We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates.…

High Energy Physics - Theory · Physics 2008-12-25 B. M. Zupnik

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that…

High Energy Physics - Theory · Physics 2009-10-31 Ashok Das , Gerald Dunne

We study knots in 3d Chern-Simons theory with complex gauge group $SL(N,\mathbb{C})$, in the context of its relation with 3d $\mathcal{N}=2$ theory (the so-called 3d-3d correspondence). The defect has either co-dimension 2 or co-dimension 4…

High Energy Physics - Theory · Physics 2016-06-21 Dongmin Gang , Nakwoo Kim , Mauricio Romo , Masahito Yamazaki

Four-dimensional homogeneous static and rotating black strings in dynamical Chern-Simons modified gravity, with and without torsion, are presented. Each solution is supported by a scalar field that depends linearly on the coordinate that…

General Relativity and Quantum Cosmology · Physics 2019-05-16 Adolfo Cisterna , Cristóbal Corral , Simón del Pino

The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest examples of a topological quantum field theory. The…

High Energy Physics - Theory · Physics 2008-11-26 Jan Govaerts , Bernadette Deschepper

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

We develop a method for relating the boundary effective action associated with an orbifold of the D+1 dimensional theory of a p-form field to D dimensional fluxed Chern-Simons type of terms. We apply the construction to derive from twelve…

High Energy Physics - Theory · Physics 2007-05-23 Nikos Irges , Mirian Tsulaia

We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge…

High Energy Physics - Theory · Physics 2018-05-02 Clay Cordova , Po-Shen Hsin , Nathan Seiberg

We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform…

High Energy Physics - Theory · Physics 2009-09-11 Jim McCarthy , Andy Wilkins

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are…

High Energy Physics - Theory · Physics 2009-10-28 S. H. Park