40 citations · 123 across the 6 of their papers we have counts for
8 papers · 1 filter
Second Hopf map and supersymmetric mechanics with Yang monopole
M. Gonzales, Z. Kuznetsova, A. Nersessian +2
We propose to use the second Hopf map for the reduction (via SU(2) group action) of the eight-dimensional N=8 supersymmetric mechanics to five-dimensional supersymmetric systems sp…
Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
Zhanna Kuznetsova, Francesco Toppan
We furnish an algebraic understanding of the inequivalent connectivities (computed up to ) of the graphs associated to the irreducible supermultiplets of the N-extended S…
Refining the classification of the irreps of the 1D N-Extended Supersymmetry
Zhanna Kuznetsova, Francesco Toppan
The linear finite irreducible representations of the algebra of the 1D -Extended Supersymmetric Quantum Mechanics are discussed in terms of their "connectivity" (a symbol encodi…
Superalgebras of (split-)division algebras and the split octonionic M-theory in (6,5)-signature
Zhanna Kuznetsova, Francesco Toppan
The connection of (split-)division algebras with Clifford algebras and supersymmetry is investigated. At first we introduce the class of superalgebras constructed from any given (s…
Conversion of second class constraints by deformation of Lagrangian local symmetries
A. A. Deriglazov, Z. Kuznetsova
For a theory with first and second class constraints, we propose a procedure for conversion of second class constraints based on deformation the structure of local symmetries of th…
Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
Z. Kuznetsova, M. Rojas, F. Toppan
We present an algorithmic classification of the irreps of the -extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields. Our work is based o…