41 citations · 164 across the 6 of their papers we have counts for
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SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank tw…
Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
Alexander D. Popov
It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R^{3,1}. We show that such solutions exist in SU(N) gauge theo…
Non-Abelian Vortices on Riemann Surfaces: an Integrable Case
Alexander D. Popov
We consider U(n+1) Yang-Mills instantons on the space Σ\times S^2, where Σis a compact Riemann surface of genus g. Using an SU(2)-equivariant dimensional reduction, we show that th…
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,…
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…
On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
Alexander D. Popov, Christian Saemann
It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP^{3|4} as a target space is equivalent to holomorphic Chern-Simons (hCS) th…