<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">N</mml:mi><mml:mo lspace="0em" linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>4</mml:mn></mml:math> supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model

Fedoruk, Sergey

doi:10.1016/j.nuclphysb.2020.115234

Cited by 5 publications

(2 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…More recently, the focus of research shifted to the study of superconformal mechanics extended by spin degrees of freedom [2][3][4][5][6][7][8][9][10][11][12]. Such variables typically arise when gauging U (n) isometry of the matrix superfield systems [2] or supersymmetrizing the Euler-type extension of the Calogero model [5].…”

Section: Introductionmentioning

confidence: 99%

Generalized spinning particles on $${\mathcal {S}}^2$$ in accord with the Bianchi classification

Galajinsky

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of generalized spinning particles on $${\mathcal {S}}^2$$ S 2 , the internal degrees of freedom of which are represented by a 3-vector obeying the structure relations of a three-dimensional real Lie algebra. Extensions involving an external field of the Dirac monopole, or the motion on the group manifold of SU(2), or a scalar potential giving rise to two quadratic constants of the motion are discussed. A procedure how to build similar models, which rely upon real Lie algebras with dimensions $$d=4,5,6$$ d = 4 , 5 , 6 , is elucidated.

show abstract

Section: Introductionmentioning

confidence: 99%

Generalized spinning particles on $${\mathcal {S}}^2$$ in accord with the Bianchi classification

Galajinsky

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Starting from a supersymmetrization of the Hermitian matrix model, the resulting matrix fermionic degrees of freedom are packaged in N =4 superfields. This approach, developed in [20,21] for the rational spin-Calogero models with N = 2, 4 supersymmetry, was recently extended to N = 2, 4 supersymmetric hyperbolic Calogero models [22][23][24]. A similar extended set of fermions appeared in [25], however their bosonic sector contains no interaction.…”

Section: Introductionmentioning

confidence: 99%