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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 …
hep-th2024
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…
hep-th2024
The classical and quantum particle on a flag manifold
Dmitri Bykov, Andrew Kuzovchikov
In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace-Beltrami operator on a flag manifold. We…