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We study the non-Abelian topological vortices in condensed matter physics, whose topological flux quantum number is described by $\pi_2(S^2)$, not by $\pi_1(S^1)$. We present two examples, a magnetic vortex in two-gap superconductor and a…

Superconductivity · Physics 2007-05-23 Y. M. Cho , Hyojoong Khim , Namsik Yong

The present work studies the gravitational radiation of a non abelian vortex with a non compact internal moduli describing its excitations. This situation may be realised by semi-local supersymmetric vortices…

High Energy Physics - Theory · Physics 2024-04-25 A. Morano , O. Santillán

The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs…

High Energy Physics - Theory · Physics 2011-12-30 Minoru Eto , Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are…

High Energy Physics - Lattice · Physics 2009-10-30 O. A. Borisenko , M. N. Chernodub , F. V. Gubarev

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two…

High Energy Physics - Theory · Physics 2016-07-25 Peter Forgacs , Arpad Lukacs , Fidel A. Schaposnik

After briefly reviewing the problems associated with non-Abelian monopoles, we turn our attention to the development in our understanding of non-Abelian {\it vortices} in the last several years. In the U(N) model with $N_{f}=N$ flavors in…

High Energy Physics - Theory · Physics 2017-08-23 Kenichi Konishi

Non-BPS non-Abelian vortices with CP^1 internal moduli space are studied in an N=2 supersymmetric U(1) x SU(2) gauge theory with softly breaking adjoint mass terms. For generic internal orientations the classical force between two vortices…

High Energy Physics - Theory · Physics 2010-05-27 Roberto Auzzi , Minoru Eto , Walter Vinci

The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an…

High Energy Physics - Theory · Physics 2014-01-23 Jarah Evslin , Kenichi Konishi , Muneto Nitta , Keisuke Ohashi , Walter Vinci

Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used in [1] to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to…

High Energy Physics - Theory · Physics 2015-05-20 Stefano Bolognesi , Chandrasekhar Chatterjee , Kenichi Konishi

We perform the Monte Carlo study of the SU(3) non-Abelian Higgs model. We discuss phase structure and non-Abelian vortices by gauge invariant operators. External magnetic fields induce non-Abelian vortices in the color-flavor locked phase.…

High Energy Physics - Lattice · Physics 2018-10-16 Arata Yamamoto

We perform a numerical study of the phase diagram of the model proposed in \cite{Shifman:2012vv}, which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in…

High Energy Physics - Theory · Physics 2018-04-18 Gianni Tallarita , Adam Peterson

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is the presence of an internal CP^{N-1}…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Auzzi , Minoru Eto , Walter Vinci

The dynamics of the non-Abelian vortex-string, which describes its low energy oscillations into the target $D=3+1$ spacetime as well as its orientations in the internal space, is derived by the approach of nonlinear realization. The…

High Energy Physics - Theory · Physics 2012-07-17 Lu-Xin Liu , Muneto Nitta

We study the evolution of abelian $U(1)$ electromagnetic as well as non-abelian $SU(2)$ gauge fields, in the presence of space-time oscillations. Analysis of the time evolution of abelian gauge fields shows the presence of parametric…

High Energy Physics - Phenomenology · Physics 2024-04-26 Shreyansh S. Dave , Sanatan Digal , Vinod Mamale

Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories are constructed in maximally color-flavor locked vacua. We study in detail their moduli and transformation properties under the exact symmetry of the system. Our…

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

We study topologically stable non-Abelian global vortices in the U(N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behaviour of vortices in two limits in which masses of traceless…

High Energy Physics - Phenomenology · Physics 2009-08-06 Minoru Eto , Eiji Nakano , Muneto Nitta

We discuss some of the latest results concerning the non-Abelian vortices. The first concerns the construction of non-Abelian BPS vortices based on general gauge groups of the form G= G' x U(1). In particular detailed results about the…

High Energy Physics - Theory · Physics 2015-03-13 Kenichi Konishi

The dynamics of both global and local vortices with non-Abelian orientational moduli is investigated in detail. Head-on collisions of these vortices are numerically simulated for parallel, anti-parallel and orthogonal internal orientations…

High Energy Physics - Theory · Physics 2021-03-31 Minoru Eto , Adam Peterson , Fidel I. Schaposnik Massolo , Gianni Tallarita

We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best dynamically stable and not subject to any topological…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. W. B. Kibble , G. Lozano , A. J. Yates
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