17 citations · 20 across the 9 of their papers we have counts for
4 papers · 1 filter
Flag manifold sigma-models and nilpotent orbits
Dmitri Bykov
In the present paper we study flag manifold sigma-models that admit a zero-curvature representation. It is shown that these models may be naturally considered as interacting (holom…
Ricci-flat metrics on vector bundles over flag manifolds
Ismail Achmed-Zade, Dmitri Bykov
We construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group , for all Kähler classes. These metrics are…
Higher spin sl_2 R-matrix from equivariant (co)homology
Dmitri Bykov, Paul Zinn-Justin
We compute the rational -matrix acting in the product of two spin- () representations, using a method analogous to the one…
Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
Dmitri Bykov
We construct a gauged linear sigma-model representation and develop a 1/N-expansion for flag manifold sigma-models previously proposed by the author. Classically there exists a zer…