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We consider a U(1) x SU(2) gauge theory on the four-dimensional manifold S^1 x S^3. If we make the assumption that only gauge transformations connected to the identity are allowed, the winding numbers of U(1) around S^1 and of SU(2) around…

High Energy Physics - Phenomenology · Physics 2016-09-06 Stefan Weinzierl

Based on the (in part verified) ideas of a dynamical ``abelian-ization'' and subsequent ``center-ization'' of pure SU($N$) gauge theory an effective potential for relevant field variables is constructed in the limit of large N. To do this…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

The stability problem of non-Abelian monopoles with respect to "Brandt-Neri-Coleman type" variations reduces to that of a pure gauge theory on the two-sphere. Each topological sector admits exactly one stable monopole charge, and each…

High Energy Physics - Theory · Physics 2015-05-27 Peng-Ming Zhang , Peter A. Horvathy , John Rawnsley

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed. Rotational invariance is found restored at coarse lattices both in the nonabelian theory and…

High Energy Physics - Lattice · Physics 2010-11-19 G. I. Poulis

We review recent results on solitons in supersymmetric (SUSY) non-Abelian gauge theories, focusing on our papers: hep-th/0405194, hep-th/0405129, and hep-th/0404198. We construct the BPS multi-wall solutions in supersymmetric U(N_C) gauge…

High Energy Physics - Theory · Physics 2007-05-23 Youichi Isozumi , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

An exact time-dependent solution of field equations for the 3-d gauge field model with a Chern-Simons (CS) topological mass is found. Limiting cases of constant solution and solution with vanishing topological mass are considered. After…

High Energy Physics - Theory · Physics 2014-11-18 D. Ebert , V. Ch. Zhukovsky , M. V. Rogal

We construct static and time-dependent exact soliton solutions with non-trivial Hopf topological charge for a field theory in 3+1 dimensions with the target space being the two dimensional sphere S**2. The model considered is a reduction of…

High Energy Physics - Theory · Physics 2010-04-08 L. A. Ferreira , A. C. Riserio do Bonfim

We investigate the dual superconductor hypothesis in finite-temperature SU(2) lattice gluodynamics in the Spatial Maximal Abelian gauge. This gauge is more physical than the ordinary Maximal Abelian gauge due to absence of non-localities in…

High Energy Physics - Lattice · Physics 2009-10-31 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

High Energy Physics - Lattice · Physics 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

We define and study a holographic dual to the topological twist of $\mathcal{N}=4$ gauge theories on Riemannian three-manifolds. The gravity duals are solutions to four-dimensional $\mathcal{N}=4$ gauged supergravity, where the…

High Energy Physics - Theory · Physics 2018-09-21 Pietro Benetti Genolini , Paul Richmond , James Sparks

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL)…

High Energy Physics - Lattice · Physics 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki

In this paper, we construct self-gravitating topological solitons in the $SU(N)$ Einstein non-linear sigma model coupled to $\omega$-vector mesons in four space-time dimensions. These solutions represent tube-like configurations free of…

High Energy Physics - Theory · Physics 2026-04-22 Gonzalo Barriga , Carla Henríquez-Baez , Leonardo Sanhueza , Aldo Vera

We consider the N=1* supersymmetric SU(2) gauge theory and demonstrate that the Z_2 vortices in this theory acquire orientational zero modes, associated with the rotation of magnetic flux inside SU(2) group, and turn into the non-Abelian…

High Energy Physics - Theory · Physics 2010-05-27 V. Markov , A. Marshakov , A. Yung

We present a new one-parameter family of supersymmetric solutions deforming AdS_5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of five-dimensional minimal gauged supergravity, with topology R x R^4 and a…

High Energy Physics - Theory · Physics 2015-06-18 Davide Cassani , Dario Martelli

Inspired by the general relation between the boundary global symmetry and the bulk gauge symmetry in AdS/CFT, we reformulate the $d+1$ dimensional AdS gravity theory as a $SO(2,d)$ gauge theory. In this formalism, the pull back of the bulk…

High Energy Physics - Theory · Physics 2021-09-28 Zhao-Long Wang , Ya-Xun Song

The confinement of electromagnetic field is studied in axial symmetrical, warped, 6D World Brane, using a recently proposed topological abelian string vortex solution as background. It was found, that the massless gauge field fluctuations…

High Energy Physics - Theory · Physics 2015-03-13 Rafael S. Torrealba

Following a novel approach, all known basic mass generation mechanisms consistent with an exact abelian U(1) gauge symmetry are shown to be related through an intricate network of dualities whatever the spacetime dimension. This equivalence…

High Energy Physics - Theory · Physics 2020-01-08 Bruno Bertrand , Jan Govaerts

We analyse the couplings of a partially massless spin-2 field with a doublet of massless, real spin-3/2 fields. In the flat limit, this spectrum coincides with the spectrum of ${\cal N}=2$ pure supergravity around anti-de Sitter spacetime…

High Energy Physics - Theory · Physics 2025-01-13 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

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