2004
DOI: 10.1088/1126-6708/2004/04/009
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Transmogrifying fuzzy vortices

Abstract: We show that the construction of vortex solitons of the noncommutative Abelian-Higgs model can be extended to a critically coupled gauged linear sigma model with Fayet-Illiopolous D-terms. Like its commutative counterpart, this fuzzy linear sigma model has a rich spectrum of BPS solutions. We offer an explicit construction of the degree−k static semilocal vortex and study in some detail the infinite coupling limit in which it descends to a degree−k CP N instanton. This relation between the fuzzy vortex and non… Show more

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Cited by 6 publications
(3 citation statements)
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“…The crucial observation is that for this specific rotation, equation (32) coincides with the equation of motion for φ given in (27): we have Ω = φ. This allows us to write the excess energy of the vortices in terms of the overlap of these zero modes (31)…”
Section: Appendix B: Potential On the Vortex Moduli Spacementioning
confidence: 77%
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“…The crucial observation is that for this specific rotation, equation (32) coincides with the equation of motion for φ given in (27): we have Ω = φ. This allows us to write the excess energy of the vortices in terms of the overlap of these zero modes (31)…”
Section: Appendix B: Potential On the Vortex Moduli Spacementioning
confidence: 77%
“…While the construction of [4] was performed in the IIB string theory set-up of [31], resulting in vortices as particles in d = 2 + 1 dimensions, here we work with the T-dual IIA construction where the vortices appear as strings in a d = 3 + 1 dimensional gauge theory. Related brane constructions of vortices were recently discussed in [32].…”
Section: Appendix A: the Brane Constructionmentioning
confidence: 99%
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