17 citations · 18 across the 5 of their papers we have counts for
11 papers · 1 filter
Anomalous symmetries in Kähler geometry
Dmitri Bykov, Andrew Kuzovchikov
We initiate a study of centrally extended () symmetries in Kähler geometry, focusing on the simplest, and most ubiquitous, Abelian case. In particular, we provi…
Ricci-flat metrics from gauged linear -models without RG flow
Dmitri Bykov, Ondrej Hulik, Ulf Lindström +2
We investigate a class of Ricci-flat Kähler metrics on generalized conifolds constructed via gauged linear sigma models (GLSMs) with indefinite signature. By introducing shadow coo…
Holomorphic Quantization in Constant Curvature Backgrounds
Dmitri Bykov, Viacheslav Krivorol
We present a holomorphic quantization scheme for free point particles on two-dimensional constant curvature Riemannian backgrounds. The procedure is based on a Lagrangian embedding…
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 polyc…
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…
Oscillator Calculus on Coadjoint Orbits and Index Theorems
Dmitri Bykov, Viacheslav Krivorol, Andrew Kuzovchikov
We consider quantum mechanical systems of spin chain type, with finite-dimensional Hilbert spaces and or supersymmetry, described in …