Yang-Mills flows on nearly Kaehler manifolds and G_2-instantons (2009)
Harland, Derek, Ivanova, Tatiana A., Lechtenfeld, Olaf, Popov, Alexander D.
We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H, RxG/H and R^2xG/H, where G/H is a compact nearly Kaehler six-dimensional homogeneous space, and the manifolds RxG/H and...
Non-Abelian Vortices, Super-Yang-Mills Theory and Spin(7)-Instantons (2009)
We consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable...
We consider the Hermitian-Yang-Mills (HYM) equations for gauge potentials on a complex vector bundle E over an almost complex manifold X^6 which is the twistor space of an oriented Riemannian...
Instantons and Yang-Mills Flows on Coset Spaces (2009)
Ivanova, Tatiana A., Lechtenfeld, Olaf, Popov, Alexander D., Rahn, Thorsten
We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce geometric fluxes...
SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices (2008)
Lechtenfeld, Olaf, Popov, Alexander D., Szabo, Richard J.
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 two quiver gauge...
Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory (2008)
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 theory on the spaces...
Non-Abelian Vortices on Riemann Surfaces: an Integrable Case (2008)
We consider U(n+1) Yang-Mills instantons on the space \Sigma\times S^2, where \Sigma is a compact Riemann surface of genus g. Using an SU(2)-equivariant dimensional reduction, we show that the U(n+1)...
Quiver Gauge Theory and Noncommutative Vortices (2007)
Lechtenfeld, Olaf, Popov, Alexander D., Szabo, Richard J.
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, by twisting with a...
Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions (2007)
Lechtenfeld, Olaf, Popov, Alexander D.
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 with N
Sigma Models with N=8 Supersymmetries in 2+1 and 1+1 Dimensions (2007)
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 model is equivalent to...
Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations (2006)
Popov, Alexander D., Wolf, Martin
We describe an infinite-dimensional algebra of hidden symmetries of N=4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using...
Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices (2006)
Lechtenfeld, Olaf, Popov, Alexander D., Szabo, Richard J.
We consider equivariant dimensional reduction of Yang-Mills theory on K"ahler manifolds of the form M times CP^1 times CP^1. This induces a rank two quiver gauge theory on M which can be formulated...
Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions (2004)
Popov, Alexander D., Wolf, Martin
It was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS)...
Noncommutative Solitons in Open N=2 String Theory (2001)
Lechtenfeld, Olaf, Popov, Alexander D., Spendig, Bernd
Coincident D2-branes in open N=2 fermionic string theory with a B-field background yield an integrable modified U(n) sigma model on noncommutative R^{2,1}. This model provides a showcase for an...