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- W2128583656 abstract "The Seiberg–Witten monopole equations are studied on manifolds of type X=Σ×S 2 , 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 S 2 are obtained as dimensional reduction of the monopole equations on S 2 . Finally, the Seiberg–Witten invariant in these cases are briefly discussed." @default.
- W2128583656 created "2016-06-24" @default.
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- W2128583656 date "1999-09-30" @default.
- W2128583656 modified "2023-09-26" @default.
- W2128583656 title "BOGOMOL'NYI VORTICES FROM SEIBERG–WITTEN MONOPOLES" @default.
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- W2128583656 doi "https://doi.org/10.1142/s0217751x99001822" @default.
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