2000/07/31 by Dileep P. Jatkar, Gautam Mandal, Spenta R. Wadia · 90 citations
Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #D-brane #Gauge theory #Higgs boson #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Tachyon #Theoretical physics #Topological quantum number #Vortex #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/09/018
published in Journal of High Energy Physics 2000(09), 018 (Springer Nature) · 24 pages, (v2) clarifying comments added regarding topological index using coherent states; n-vortex solution added; version to appear in JHEP
openalex publication_date 2000/09/13 · arxiv created 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 θ limit as well as in the small θ 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.