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The Abelian and non-Abelian vortices on orbifolds are investigated based on the moduli matrix approach, which is a powerful method to deal with the BPS equation.
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G. S. Lozano, D. Marques, F. A. Schaposnik, “Non-Abelian Vortices on the Torus,” JHEP 0709
2007
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J. M. Baptista, “On the L 2 L^{2} -metric of vortex moduli spaces,” Nucl. Phys. B844
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N. S. Manton, N. A. Rink, “Vortices on Hyperbolic Surfaces,” J. Phys. A43
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