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Moduli space of non-abelian vortices.

The moduli space M(N,k) of k vortices in U(N) gauge theory with N Higgs fields in the fundamental representation is completely determined and Orbifold singularities of this space correspond to coincident vortsices and are resolved resulting in a smooth moduli manifold.
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TOPICAL REVIEW: Solitons in the Higgs phase: the moduli matrix approach

We review our recent work on solitons in the Higgs phase. We use U(NC) gauge theory with NF Higgs scalar fields in the fundamental representation, which can be extended to possess eight supercharges.…
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Non-Abelian Vortices of Higher Winding Numbers

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…
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On the moduli space of semilocal strings and lumps

We study BPS non-abelian semilocal vortices in U(Nc) gauge theory with Nf flavors, Nf > Nc, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix…
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Multiple layer structure of non-Abelian vortex

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Instantons in the Higgs phase

When instantons are put into the Higgs phase, vortices are attached to instantons. We construct such composite solitons as 1/4 BPS states in five-dimensional supersymmetric U(NC) gauge theory with…
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Effective world-sheet theory of color magnetic flux tubes in dense QCD

Color magnetic flux tubes appear in the color-flavor locked phase of high density QCD, which exhibits color superconductivity as well as superfluidity. They are non-Abelian superfluid vortices and…
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Non-Abelian vortices on a cylinder: Duality between vortices and walls

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets in the fundamental representation. We identify moduli space of periodic vortices and find that a…
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Interaction of half-quantized vortices in two-component Bose-Einstein condensates

We study the asymptotic interaction between two half-quantized vortices in two-component Bose-Einstein condensates. When two vortices in different components are placed at distance 2R, the leading…
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Short-range intervortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates

We study the interaction and dynamics of two half-quantized vortices in two-component Bose- Einstein condensates. Using the Pade approximation for the vortex core profile, we calculate the…
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