3 papers
hep-th2026
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…
hep-th2025
On First-Order GLSM for Sigma Models
Viacheslav Krivorol
We review some recent developments in 1-st order GLSM construction, or so-called Gross-Neveu formalism for sigma models. We recall the general idea behind this framework and descri…
hep-th2024
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 …