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Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral formalism and study various aspects of dual formulation…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Bok Keun Chung , Jin-Mo Chung , Seongtag Kim , Yoonbai Kim

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall

A new topological field theory is constructed, which is characterized by cubic interactions similar to those of non-abelian Chern-Simons field theories, but still retains the simplicity of the abelian case. The perturbative expansion of…

Mathematical Physics · Physics 2007-05-23 Franco Ferrari

We propose a new "Hamiltonian inspired" covariant formula to define (without harmful ambiguities) the superpotential and the physical charges associated to a gauge symmetry. The criterion requires the variation of the Noether current not to…

High Energy Physics - Theory · Physics 2009-10-31 S. Silva

In this paper we establish the existence of multi-vortices for a generalized self-dual Chern--Simons model. Doubly periodic vortices, topological and non-topological vortex solutions are constructed for this model. For the existence of…

Mathematical Physics · Physics 2015-03-13 Xiaosen Han

In this work, we derive a recently proposed Abelian model to describe the interaction of correlated monopoles, center vortices, and dual fields in three dimensional SU(2) Yang-Mills theory. Following recent polymer techniques, special care…

High Energy Physics - Theory · Physics 2015-05-28 A. L. L. de Lemos , L. E. Oxman , B. F. I. Teixeira

We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here $G= SU(N), SO(N), USp(2N)$) in the Higgs phase. The sources of such vortices carry "fractional" quantum numbers such as…

High Energy Physics - Theory · Physics 2009-11-07 K. Konishi , L. Spanu

In this work we deal with vortices in Maxwell-Higgs or Chern-Simons-Higgs models that engender long range tails. We find first order differential equations that support minimum energy solutions which solve the equations of motion. In the…

High Energy Physics - Theory · Physics 2020-07-29 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes

We study Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain…

High Energy Physics - Theory · Physics 2009-10-29 Chanju Kim , Yoonbai Kim , O-Kab Kwon , Hiroaki Nakajima

We investigate some fundamental features of a class of non-linear relativistic lagrangian field theories with kinetic self-coupling. We focus our attention upon theories admitting static, spherically symmetric solutions in three space…

High Energy Physics - Theory · Physics 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically…

High Energy Physics - Theory · Physics 2010-11-01 Chanju Kim , Yoonbai Kim

We study the structure and properties of vortices in a recently proposed Abelian Maxwell-Chern-Simons model in $2 +1 $ dimensions. The model which is described by gauge field interacting with a complex scalar field, includes two parity and…

High Energy Physics - Theory · Physics 2009-10-30 Armando Antillon , Joaquin Escalona , Manuel Torres

We consider the exotic vortex equations on compact Riemann surfaces. These generalise the well-known Jackiw-Pi and Ambj{\o}rn-Olesen vortex equations and arise as equations for Bogomolny-Prasad-Sommerfield-like configurations in…

Mathematical Physics · Physics 2021-08-03 Edward Walton

In this work we propose an effective low-energy theory for a large class of 2+1 dimensional non-Abelian topological spin liquids whose edge states are conformal degrees of freedom with central charges corresponding to the coset structure…

Strongly Correlated Electrons · Physics 2017-10-06 Carlos A. Hernaski , Pedro R. S. Gomes

A general relation for the total angular momentum of a regular solution of the Einstein-Yang-Mills-Higgs equations is derived. Two different physical configurations, rotating dyons and rotating magnetic dipoles are discussed as particular…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. J. van der Bij , Eugen Radu

We investigate a version of the abelian Higgs model with a non-standard kinetic term (K field theory) in 2+1 dimensions. The existence of vortex type solutions with compact support (topological compactons) is established by a combination of…

High Energy Physics - Theory · Physics 2009-03-27 C. Adam , P. Klimas , J. Sanchez-Guillen , A. Wereszczynski

We study the stability of Z_2 topological vortex excitations in d+1 dimensional SU(2) Yang-Mills theory on the lattice at T=0. This is found to depend on d and on the coupling considered. We discuss the connection with lattice artifacts…

High Energy Physics - Lattice · Physics 2008-11-26 G. Burgio

The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a…

High Energy Physics - Theory · Physics 2009-11-07 Yoonbai Kim , Kimyeong Lee

In theories where spacetime is a direct product of Minkowski space ($M^4$) and a d dimensional compact space ($K^d$), there can exist topological solitons that simultaneously wind around $R^3$ (or $R^2$ or $R^1$) in $M^4$ and the compact…

High Energy Physics - Theory · Physics 2011-02-09 C. S. Aulakh

The topological susceptibility of the SU(3) random vortex world-surface ensemble, an effective model of infrared Yang-Mills dynamics, is investigated. The model is implemented by composing vortex world-surfaces of elementary squares on a…

High Energy Physics - Lattice · Physics 2011-02-01 Michael Engelhardt