TY - JOUR
T1 - Bogomol'nyi vortices from Seiberg-Witten monopoles
AU - Nasir, Sazzad Mahmud
N1 - Funding Information:
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.
PY - 1999/9/30
Y1 - 1999/9/30
N2 - 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.
AB - 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.
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U2 - 10.1142/S0217751X99001822
DO - 10.1142/S0217751X99001822
M3 - Article
AN - SCOPUS:10644259014
VL - 14
SP - 3905
EP - 3920
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 24
ER -