Bogomol'nyi vortices from Seiberg-Witten monopoles

Sazzad Mahmud Nasir*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Seiberg-Witten monopole equations are studied on manifolds of type X = Σ × S2, where Σ is a Riemann surface of genus g > 1. Imposing spherical symmetry on the monopole equations, Bogomol'nyi vortices on Σ are obtained. The dimensions of the two moduli spaces agree. As a consistency check, we show that all solutions to the monopole equations on X that descend to Σ are spherically symmetric. Further, Bogomol'nyi vortices on S2 are obtained as dimensional reduction of the monopole equations on S2. Finally, the Seiberg-Witten "invariant" in these cases are briefly discussed.

Original languageEnglish (US)
Pages (from-to)3905-3920
Number of pages16
JournalInternational Journal of Modern Physics A
Volume14
Issue number24
DOIs
StatePublished - Sep 30 1999

Funding

I am very much indebted to Professor N. S. Manton for suggesting this problem to me and for discussions that I have had with him during the course of this work. I would also like to thank Dr. C. Houghton and Dr. H. Merabet for helpful comments on this manuscript. This work was supported by the Overseas Research Scheme, the Cambridge Commonwealth Trust and Wolfson college.

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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