88 citations · 2k across the 119 of their papers we have counts for
120 papers
Superconformal mechanics from N-extended Euler-Calogero-Moser and Calogero models
S. Krivonos, A. Sutulin
In this paper, we considered two-particle variants of the N-extended Euler-Calogero-Moser and Calogero models. Due the translation invariance, the center of mass can be decoupled (…
N=8 superconformal mechanics: direct construction
Sergey Krivonos, Armen Nersessian
In the present paper we constructed the supercharges and Hamiltonians for all variants of superconformal mechanics associated with the superalgebras $osp(8|2), {\mathfrak F(4)}, os…
Split Casimir operator for simple Lie algebras in the cube of -representation and Vogel parameters
A. P. Isaev, S. O. Krivonos, A. A. Provorov
We constructed characteristic identities for the 3-split (polarized) Casimir operators of simple Lie algebras in the adjoint representations and deduced a certain cla…
Generalized Schwarzians
Nikolay Kozyrev, Sergey Krivonos
In this paper we demonstrate that the different generalizations of the Schwarzians, supersymmetric or purely bosonic, can be easily constructed by using the nonlinear realizations…
Integrability of supersymmetric Calogero-Moser models
Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin
We analyze the integrability of the -extended supersymmetric Calogero-Moser model. We explicitly construct the Lax pair for this system, which properly reproduc…
Euler top and freedom in supersymmetrization of one-dimensional mechanics
Erik Khastyan, Sergey Krivonos, Armen Nersessian
Recently A.Galajinsky has suggested the N=1 supersymmetric extension of Euler top and made a few interesting observations on its properties [arXiv:2111.06083 [hep-th]]. In this pap…