5 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
Point Particles as Spin Chains
Viacheslav Krivorol
This work surveys a recently developed approach to the study of free point particles on Riemannian manifolds, based on the Kirillov orbit method, geometric quantization, and the ge…
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…
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 …
Supersymmetric Grassmannian Sigma Models in Gross-Neveu Formalism
Dmitri Bykov, Viacheslav Krivorol
We revisit the classical aspects of supersymmetric sigma models with Hermitian symmetric target spaces, using the so-called Gross-Neveu (first-order GLSM) forma…
Grassmannian Sigma Models
Dmitri Bykov, Viacheslav Krivorol
We show that sigma models with orthogonal and symplectic Grassmannian target spaces admit chiral Gross-Neveu model formulations, thus extending earlier results on unitary Grassmann…