Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model

Abstract

We construct Nielsen-Olesen vortex solution in the noncommutative abelian Higgs model. We derive the quantized topological flux of the vortex solution. We find that the flux is integral by explicit computation in the large $\theta$ limit as well as in the small $\theta$ limit. In the context of a tachyon vortex on the brane-antibrane system we demonstrate that it is this topological charge that gives rise to the RR charge of the resulting BPS D-brane. We also consider the left-right-symmetric gauge theory which does not have a commutative limit and construct an exact vortex solution in it.

24 pages, (v2) clarifying comments added regarding topological index using coherent states; n-vortex solution added; version to appear in JHEP

References in corpus (5)

• Noncommutative Solitons
• Noncommutative Tachyons
• Flux tube solutions in noncommutative gauge theories
• Noncommutative Tachyons And String Field Theory
• Gauge Theory on a Quantum Phase Space

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