We completely determine the moduli space M(N,k) of k vortices in U(N) gauge theory with N Higgs fields in the fundamental representation. Its open subset for separated vortices is found as theâ€¦ (More)

Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex stringsâ€¦ (More)

Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U(N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identifiedâ€¦ (More)

The scattering is studied using moduli space metric for well-separated vortices of nonAbelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation.â€¦ (More)

BPS equations and wall solutions are studied keeping (part of) supersymmetry (SUSY) manifest. Using N = 1 superfields, massive hyperKÃ¤hler quotient is introduced to obtain massive N = 2 (8 SUSY)â€¦ (More)

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 withâ€¦ (More)

A systematic method to obtain the effective Lagrangian on the BPS background in supersymmetric gauge theories is worked out, taking domain walls and vortices as concrete examples. The Lagrangian inâ€¦ (More)

Supersymmetric U(NC) gauge theory with NF massive hypermultiplets in the fundamental representation is given by the brane configuration made of NC fractional Dp-branes stuck at the Z2 orbifoldâ€¦ (More)

The Bogomolâ€™nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed in supersymmetric U(NC) gauge theories in five dimensions with NF(> NC) hypermultiplets in the fundamentalâ€¦ (More)

We study the global structure of the moduli space of BPS walls in the Higgs branch of supersymmetric theories with eight supercharges. We examine the structure in the neighborhood of a specialâ€¦ (More)