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The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters…

High Energy Physics - Lattice · Physics 2016-11-03 Richard W. Haymaker

We study the internal structure of a non-Abelian vortex in color superconductivity with respect to quark degrees of freedom. Stable non-Abelian vortices appear in the Color-Flavor-Locked phase whose symmetry SU(3)_{c+L+R} is further broken…

High Energy Physics - Phenomenology · Physics 2010-11-15 Shigehiro Yasui , Kazunori Itakura , Muneto Nitta

We investigate the existence of BPS structures in a Maxwell-Higgs electrodynamics immersed within a chiral medium, whose electromagnetic properties are described by both the Chern-Simons term and a neutral scalar field. The implementation…

High Energy Physics - Theory · Physics 2024-02-29 J. Andrade , Rodolfo Casana , E. da Hora

We give an explicit example of the embedding of a near BPS low-energy (U(1) x USp(2M))/Z_2 gauge theory into a high-energy theory with a simple gauge group and adjoint matter content. This system possesses degenerate monopoles arising from…

High Energy Physics - Theory · Physics 2010-05-19 Sven Bjarke Gudnason , Kenichi Konishi

In $N$-band superconductors, the $U(1)^N$ phase invariance is spontaneously broken. We propose a model for $N$-band superconductors where the phase differences between gaps are represented by abelian gauge fields. This model corresponds to…

Superconductivity · Physics 2013-12-10 Takashi Yanagisawa , Izumi Hase

We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of co-axial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase,…

High Energy Physics - Theory · Physics 2010-03-01 Minoru Eto , Kenichi Konishi , Giacomo Marmorini , Muneto Nitta , Keisuke Ohashi , Walter Vinci , Naoto Yokoi

To a domain wall or string object, Noether charge and topological spatial objects can be attracted, forming a composite BPS (Bogomolny-Prasad-Sommerfield) object. We consider two field theories and derive a new BPS bound on composite linear…

High Energy Physics - Theory · Physics 2008-11-26 Seok Kim , Ki-Myeong Lee , Ho-Ung Yee

We show that the two-gap superconductor has two types of non-Abrikosov magnetic vortex, the D-type which has no concentration of the condensate at the core and the N-type which has a non-vanishing concentration of the condensate at the…

Superconductivity · Physics 2007-05-23 Y. M. Cho , Pengming Zhang

Non-Abelian vortices for a supersymmetric {\cal N}=2 Chern-Simons-Higgs theory are explicitly constructed. We introduce N Higgs fields in the fundamental representation of the U(N) gauge group in order to have a color-flavor SU(N) group…

High Energy Physics - Theory · Physics 2008-11-26 L. G. Aldrovandi , F. A. Schaposnik

Dyonic non-Abelian local/semi-global vortex strings are studied in detail in supersymmetric/non-supersymmetric Yang-Mills-Higgs theories. While the BPS tension formula is known to be the same as that for the BPS dyonic instanton, we find…

High Energy Physics - Theory · Physics 2015-06-23 Minoru Eto , Yoshihide Murakami

Mixed oriented and nonoriented center vortices are known to generate nontrivial topological charge. However, most previous analyses have been restricted to Abelian-projected thin configurations. Studies of thick vortices have so far focused…

High Energy Physics - Theory · Physics 2025-11-17 David R. Junior , L. E. Oxman , Gustavo M. Simões

Vortices carrying truly non-Abelian flux moduli, which do not dynamically reduce to Abelian vortices, are found in the context of softly-broken ${\cal N}=2$ supersymmetric chromodynamics (SQCD). By tuning the bare quark masses appropriately…

High Energy Physics - Theory · Physics 2014-11-18 Daniele Dorigoni , Kenichi Konishi , Keisuke Ohashi

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

High Energy Physics - Lattice · Physics 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

We study abelian BPS vortices on a surface $S$ with boundary, which satisfy the Neumann boundary condition on the norm of the scalar field, or equivalently, that the current along the boundary vanishes. These vortices have quantised…

High Energy Physics - Theory · Physics 2023-05-26 N. S. Manton , Boan Zhao

The BPS limit of the inhomogeneous abelian Higgs model is considered in $(1+2)$-dimensions. The second order Bogomolny equation is examined in the presence of an inhomogeneity expressed as a function of spatial coordinates. Assuming a…

Analysis of PDEs · Mathematics 2024-09-24 SeungJun Jeon , Chanju Kim , Yoonbai Kim

We propose a novel and simple method to compute the partition function of statistical mechanics of local and semi-local BPS vortices in the Abelian-Higgs model and its non-Abelian extension on a torus. We use a D-brane realization of the…

High Energy Physics - Theory · Physics 2008-11-26 Minoru Eto , Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Kazutoshi Ohta , Norisuke Sakai

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

In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group $SU(N) \times U(1)$ and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a…

Analysis of PDEs · Mathematics 2013-09-10 Shouxin Chen , Xiaosen Han , Gustavo Lozano , F. A. Schaposnik

A particular dimensional reduction of SU(2N) Yang--Mills theory on $\Sigma \times S^2$, with $\Sigma$ a Riemann surface, yields an $S(U(N) \times U(N))$ gauge theory on $\Sigma$, with a matrix Higgs field. The SU(2N) self-dual Yang--Mills…

High Energy Physics - Theory · Physics 2010-04-30 Nicholas S. Manton , Norisuke Sakai

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