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arXiv · hep-th/0403105

Transmogrifying Fuzzy Vortices

Jeff Murugan·Antony Millner
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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$-k$ $\C\Pk^{N}$ instanton. This relation between the fuzzy vortex and noncommutative lump is used to suggest an interpretation of the noncommutative sigma model soliton as tilted D-strings stretched between an NS5-brane and a stack of D3-branes in type IIB superstring theory.

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Jeff Murugan, Antony Millner. 2004-03-09. Transmogrifying Fuzzy Vortices. https://doi.org/10.1088/1126-6708%2F2004%2F04%2F009

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