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We propose a method for the determination of magnetic monopole currents in non-Abelian gauge theories which does not need a projection to Abelian degrees of freedom. With this definition we are able to determine the distribution of magnetic…

High Energy Physics - Lattice · Physics 2008-11-26 Peter Skala , Manfried Faber , Martin Zach

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi

An explicit canonical construction of monopole connections on non trivial U(1) bundles over Riemann surfaces of any genus is given. The class of monopole solutions depend on the conformal class of the given Riemann surface and a set of…

High Energy Physics - Theory · Physics 2009-09-25 I. Martin , A. Restuccia

We consider supersymmetric gauge theories on $S^5$ with a negative Yang-Mills coupling in their large $N$ limits. Using localization we compute the partition functions and show that the pure ${\mathrm{SU}}(N)$ gauge theory descends to an…

High Energy Physics - Theory · Physics 2021-03-17 Joseph A. Minahan , Anton Nedelin

Non-Abelian monopoles are present in the fully quantum mechanical low-energy effective action of many solvable supersymmetric theories. They behave perfectly as pointlike particles carrying non-Abelian dual magnetic charges. They play a…

High Energy Physics - Theory · Physics 2010-05-27 Kenichi Konishi

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The…

High Energy Physics - Theory · Physics 2011-01-25 Hironobu Kihara , Yutaka Hosotani , Muneto Nitta

A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We…

High Energy Physics - Theory · Physics 2009-10-22 Chanju Kim , Choonkyu Lee , Pyungwon Ko , Bum-Hoon Lee , Hyunsoo Min

We study the Wilson line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric $SU(N)$ Chern-Simons theories of level $k\le -N$ with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d…

High Energy Physics - Theory · Physics 2024-06-07 Tadashi Okazaki , Douglas J. Smith

We study observables and deformations of generalized Chern-Simons action and show how to apply these results to maximally supersymmetric gauge theories. We describe a construction of large class of deformations based on some results on the…

High Energy Physics - Theory · Physics 2013-04-30 M. V. Movshev , A. Schwarz

In this paper, we study normalized solutions to the Chern-Simons-Schr\"odinger system, which is a gauge-covariant nonlinear Sch\"oridnger system with a long-range electromagnetic field, arising in nonrelativistic quantum mechanics theory.…

Analysis of PDEs · Mathematics 2020-12-21 Tianxiang Gou , Zhitao Zhang

Extending previous work that involved D3-branes ending on a fivebrane with $\theta_{\mathrm{YM}}\not=0$, we consider a similar two-sided problem. This construction, in case the fivebrane is of NS type, is associated to the three-dimensional…

High Energy Physics - Theory · Physics 2015-09-30 Victor Mikhaylov , Edward Witten

Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these…

High Energy Physics - Theory · Physics 2009-11-07 Conor J. Houghton , Erick J. Weinberg

We compute R-charges of the BPS-monopole operators in $\mathcal{N} = 3$ $\widehat{ADE}$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in \cite{bkk}. These theories have a weakly coupled UV…

High Energy Physics - Theory · Physics 2020-06-24 Moumita Patra

We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities…

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

We investigate the existence of vortex configurations in two gauged-$CP(2)$ models extended via the inclusion of magnetic impurities. In particular, we consider both the Maxwell-$CP(2)$ and the Chern-Simons-$CP(2)$ enlarged scenarios,…

High Energy Physics - Theory · Physics 2022-07-27 V. Almeida , R. Casana , E. da Hora , S. Krusch

We present a formula for the Hilbert series that counts gauge invariant chiral operators in a large class of 3d ${\cal N} \ge 2$ Yang-Mills-Chern-Simons theories. The formula counts 't Hooft monopole operators dressed by gauge invariants of…

High Energy Physics - Theory · Physics 2016-11-03 Stefano Cremonesi , Noppadol Mekareeya , Alberto Zaffaroni

Energy eigenstates for N=2 supersymmetric gauged quantum mechanics are found for the gauges groups SU(n) and U(n). The analysis is aided by the existence of an infinite number of conserved operators. The spectum is continuous. Perturbative…

High Energy Physics - Theory · Physics 2009-10-30 Stuart Samuel

The two-dimensional self-dual Chern-Simons equations are equivalent to the conditions for static, zero-energy vortex-like solutions of the (2+1) dimensional gauged nonlinear Schr\"odinger equation with Chern-Simons matter-gauge coupling.…

High Energy Physics - Theory · Physics 2007-05-23 Gerald Dunne

We find a new type of topological vortex solution in the $U(1)_Z \times U(1)_A$ Chern Simons gauge theory in the presence of a $U(1)_A$ magnetic field background. In this theory $U(1)_Z$ is broken spontaneously by the $U(1)_A$ magnetic…

High Energy Physics - Theory · Physics 2015-11-04 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres