A. Sutulin

activity

19942026

most citedHierarchy of N=8 Mechanics Models

57 citations · 369 across the 32 of their papers we have counts for

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33 papers · 1 filter

hep-th2026

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 (…

hep-th2022

Integrability of supersymmetric Calogero-Moser models

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

We analyze the integrability of the $N$ -extended supersymmetric Calogero-Moser model. We explicitly construct the Lax pair ${L, A}$ for this system, which properly reproduc…

hep-th2019★ 1 cited

New $N = 2$ superspace Calogero models

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

Starting from the Hamiltonian formulation of $N = 2$ supersymmetric Calogero models associated with the classical $A_{n}, B_{n}, C_{n}$ and $D_{n}$ series and their hyperbolic/tri…

hep-th2019★ 19 cited

Supersymmetric many-body Euler-Calogero-Moser model

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

We explicitly construct a supersymmetric $so (n)$ spin-Calogero model with an arbitrary even number $N$ of supersymmetries. It features $\frac{1}{2} N n (n + 1)$ rather tha…

hep-th2018★ 17 cited

Extended supersymmetric Calogero model

Sergey Krivonos, Olaf Lechtenfeld, Alexander Provorov +1

We present a surprising redefinition of matrix fermions which brings the supercharges of the $N$ -extended supersymmetric $A_{n - 1}$ Calogero model introduced in [1] to the stan…

hep-th2018★ 26 cited

$N$ -extended supersymmetric Calogero models

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

We propose a new $N$ -extended supersymmetric $s u (n)$ spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly con…

hep-th2017★ 10 cited

SU(2 $∣$ 1) supersymmetric mechanics on curved spaces

Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld +1

We present SU $(2∣1)$ supersymmetric mechanics on $n$ -dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the…

hep-th2017★ 10 cited

Curved Witten-Dijkgraaf-Verlinde-Verlinde equation and $N = 4$ mechanics

Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld +2

We propose a generalization of the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation from $R^{n}$ to an arbitrary Riemannian manifold. Its form is obtained by extending th…

hep-th2017★ 11 cited

$N = 4$ supersymmetric mechanics on curved spaces

Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld +2

We present $N = 4$ supersymmetric mechanics on $n$ -dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the super…

hep-th2015★ 12 cited

Space-filling D3-brane within coset approach

S. Bellucci, N. Kozyrev, S. Krivonos +1

We derive the component on-shell action of the space-filling D3-brane, {\it i.e.} $N = 1$ supersymmetric Born-Infeld action, within the nonlinear realization approach. The covariant…

hep-th2015★ 2 cited

Testing the FPS approach in d=1

S. Bellucci, S. Krivonos, A. Sutulin

We apply the approach of S. Ferrara, M. Porrati and A. Sagnotti \cite{FPS} to the one dimensional system described by the $N = 2, d = 1$ supersymmetric action for two particles in whic…

hep-th2014★ 2 cited

Component on-shell actions of supersymmetric 3-branes II. 3-brane in D=8

S. Bellucci, N. Kozyrev, S. Krivonos +1

In the present paper we explicitly construct the on-shell supersymmetric component action for a 3-brane moving in D=8 within the nonlinear realizations framework. Similarly to the…

hep-th2014★ 1 cited

Comments on N=2 Born-Infeld Attractors

S. Bellucci, S. Krivonos, A. Sutulin

We demonstrated that the new N=2 Born-Infeld action with two N=1 vector supermultiplets, i.e. n=2 case considered as the example in the recent paper by S. Ferrara, M. Porrati and A…

hep-th2014★ 4 cited

Component on shell actions of supersymmetric 3-brane I. 3-brane in D=6

S. Bellucci, N. Kozyrev, S. Krivonos +1

In the present and accompanying papers we explicitly construct the on-shell supersymmetric component actions for 3-branes moving in D=6 and in D=8 within the nonlinear realizations…

hep-th2014★ 4 cited

Coset approach to the partial breaking of global supersymmetry

S. Bellucci, S. Krivonos, A. Sutulin

We propose a method to construct on-shell component actions for theories with 1/2 partial breaking of global supersymmetry within the nonlinear realization (coset) approach. In con…

hep-th2013★ 11 cited

Supersymmetric component actions via coset approach

S. Bellucci, S. Krivonos, A. Sutulin

We propose a method to construct the on-shell component actions for the theories with $1/2$ partial breaking of global supersymmetry within the nonlinear realization (coset) approa…

hep-th2012★ 4 cited

Symmetries of N=4 supersymmetric CP(n) mechanics

S. Bellucci, N. Kozyrev, S. Krivonos +1

We explicitly constructed the generators of $S U (n + 1)$ group which commute with the supercharges of N=4 supersymmetric $CP^{n}$ mechanics in the background U(n) gauge fields.…

hep-th2011★ 7 cited

N=4 chiral supermultiplet interacting with a magnetic field

Stefano Bellucci, Nikolay Kozyrev, Sergey Krivonos +1

We couple N=4 chiral supermultiplet with an auxiliary N=4 fermionic supermutiplet containing on-shell four physical fermions and four auxiliary bosons. The latter ones play the rol…

hep-th2011★ 5 cited