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hep-th2025
T-duality for toric manifolds in superspace
Dmitri Bykov, Savva Kutsubin, Andrew Kuzovchikov
We study the situation when the T-dual of a toric Kähler geometry is a generalized Kähler geometry involving semi-chiral fields. We explain that this situation is generic for pol…
hep-th2025
Sigma models from Gaudin spin chains
Dmitri Bykov, Andrew Kuzovchikov
We solve the classical and quantum problems for the 1D sigma model with target space the flag manifold , equipped with the most general invarian…
math.DG2025
Isotropic embeddings of coadjoint orbits and magnetic geodesic flows
Dmitri Bykov, Andrew Kuzovchikov
We consider isotropic and Lagrangian embeddings of coadjoint orbits of compact Lie groups into products of coadjoint orbits. After reviewing the known facts in the case of $\mathrm…