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 language | English (US) |
|---|---|
| Pages (from-to) | 3905-3920 |
| Number of pages | 16 |
| Journal | International Journal of Modern Physics A |
| Volume | 14 |
| Issue number | 24 |
| DOIs | |
| State | Published - Sep 30 1999 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics
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Nasir, S. M. (1999). Bogomol'nyi vortices from Seiberg-Witten monopoles. International Journal of Modern Physics A, 14(24), 3905-3920. https://doi.org/10.1142/S0217751X99001822