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We construct a Lagrangian formulation of Hitchin's self-duality equations on a Riemann surface $\Sigma$ using potentials for the connection and Higgs field. This two-dimensional action is then obtained from a four-dimensional Chern-Simons…

High Energy Physics - Theory · Physics 2026-02-26 Roland Bittleston , Lionel Mason , Seyed Faroogh Moosavian

We study three dimensional gauge theories with N=2 supersymmetry. We show that the Coulomb branches of such theories may be rendered compact by the dynamical generation of Chern-Simons terms and present a new class of mirror symmetric…

High Energy Physics - Theory · Physics 2009-10-31 Nick Dorey , David Tong

Some general features of locally supersymmetric theories (N=1 in four dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched out. The relevance of the three-form multiplet both for the description of Chern-Simons…

High Energy Physics - Theory · Physics 2007-05-23 R. Grimm

We consider a simplified model of particles with effectively distance dependent statistics, that is particles coupled to a gauge field the Lagrangian of which contains the Chern-Simons term. We analyze the low-lying states of the…

High Energy Physics - Theory · Physics 2007-05-23 S. V. Mashkevich , G. M. Zinovjev

We use 3d bosonization dualities to derive new non-supersymmetric dualities between bosonic quiver theories in $2+1$ dimensions. It is shown that such dualities are a natural non-Abelian generalization of the bosonic particle-vortex…

High Energy Physics - Theory · Physics 2018-09-26 Kyle Aitken , Andrew Baumgartner , Andreas Karch

Classical three dimensional Yang-Mills is seen to be related to the topological Chern-Simons term through a nonlinear but fully local and covariant gauge field redefinition. A classical recursive cohomological argument is provided.

High Energy Physics - Theory · Physics 2009-10-30 V. E. R. Lemes , C. Linhares de Jesus , C. A. G. Sasaki , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles. As a…

High Energy Physics - Theory · Physics 2017-07-27 Christian Saemann , Martin Wolf

Utilizing a number of results of Dittmann, we investigate the nature of the Yang-Mills field over the eight-dimensional convex set, endowed with the Bures metric, of three-level quantum systems. Adopting a numerical strategy, we first…

Mathematical Physics · Physics 2007-05-23 Paul B. Slater

We show that the approaches to integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations are closely related, at least classically. Following a suggestion of Kevin Costello, we…

High Energy Physics - Theory · Physics 2023-08-31 Roland Bittleston , David Skinner

In the usual d dimensional SO(d) gauged Higgs models with $d$-component Higgs fields, the 'energies' of the topologically stable solitons are bounded from below by the Chern-Pontryagin charges. A new class of Higgs models is proposed here,…

High Energy Physics - Theory · Physics 2016-11-23 Tigran Tchrakian

We investigate finite energy solutions of the Einstein--Yang-Mills--Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We investigate the dimensional, the dynamical and the topological structures of four dimensional Einstein and Yang-Mills theories. It is shown that these theories are constructed from two dimensional quantities, so that they possess always…

High Energy Physics - Theory · Physics 2016-09-06 F. Ghaboussi

We obtain the non-equilibrium condensate of the Chern Simons density induced by a misaligned homogeneous coherent axion field in linear response. The Chern-Simons dynamical susceptibility is simply related to the axion self-energy, a result…

High Energy Physics - Phenomenology · Physics 2023-05-02 Shuyang Cao , Daniel Boyanovsky

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from Wilson lines and surface operators. We show that this theory describes a quasi-topological sector of maximally supersymmetric Yang-Mills theory in six…

High Energy Physics - Theory · Physics 2021-09-30 Kevin Costello , Junya Yagi

The (1,0) supersymmetry in six dimensions admits a tensor multiplet which contains a second-rank antisymmetric tensor field with a self-dual field strength and a dilaton. We describe the fully supersymmetric coupling of this multiplet to…

High Energy Physics - Theory · Physics 2009-10-30 E. Bergshoeff , E. Sezgin , E. Sokatchev

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4,…

High Energy Physics - Theory · Physics 2009-10-12 Eunkyung Koh , Sangmin Lee , Sungjay Lee

We describe the vector-tensor multiplet and derive its Chern-Simons couplings to the N=2 Yang-Mills gauge superfield in harmonic superspace.

High Energy Physics - Theory · Physics 2011-09-13 Norbert Dragon , Sergei M. Kuzenko , Ulrich Theis

In arXiv:1406.0957v1 ("Scalar field excited around a rapidly rotating black hole in Chern-Simons modified gravity"), Konno and Takahashi have recently developed some analytical results for the scalar field about a Kerr black hole in the…

General Relativity and Quantum Cosmology · Physics 2014-07-04 Leo C. Stein

By taking into account the effect of the would be Chern-Simons term, we calculate the quantum correction to the Chern-Simons coefficient in supersymmetric Chern-Simons Higgs theories with matter fields in the fundamental representation of…

High Energy Physics - Theory · Physics 2009-10-31 Hsien-chung Kao

Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of…

High Energy Physics - Theory · Physics 2024-10-31 Lewis T. Cole , Ryan A. Cullinan , Ben Hoare , Joaquin Liniado , Daniel C. Thompson
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