121 citations · 1.8k across the 78 of their papers we have counts for
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Integrability of Vortex Equations on Riemann Surfaces
Alexander D. Popov
The Abelian Higgs model on a compact Riemann surface Σof genus g is considered. We show that for g > 1 the Bogomolny equations for multi-vortices at critical coupling can be obtain…
Quiver Gauge Theory and Noncommutative Vortices
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R^{2n}_theta x G/H which are manifestly G-symmetric. Given a G-representation,…
Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
Olaf Lechtenfeld, Alexander D. Popov
We consider a supersymmetric Bogomolny-type model in 2+1 dimensions originating from twistor string theory. By a gauge fixing this model is reduced to a modified U(n) chiral model…
Sigma Models with N=8 Supersymmetries in 2+1 and 1+1 Dimensions
Alexander D. Popov
We introduce an N=8 supersymmetric extension of the Bogomolny-type model for Yang-Mills-Higgs fields in 2+1 dimensions related with twistor string theory. It is shown that this mod…