53 citations · 366 across the 24 of their papers we have counts for
14 papers · 1 filter
Integration on minimal -superspace and emergence of space
N. Aizawa, Ren Ito
We investigate the possibilities of integration on the minimal -superspace. Two definitions are taken from the works by Poncin and Schouten and we examine their gen…
-Graded extensions of supersymmetric quantum mechanics via Clifford algebras
N. Aizawa, K. Amakawa, S. Doi
It is shown that the supersymmetric quantum mechanics (SQM) can be extended to a -graded superalgebra. This is done by presenting quantum mechanical mo…
-Extension of duble-graded supersymmetric and superconformal quantum mechanics
N. Aizawa, K. Amakawa, S. Doi
In the recent paper, Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of …
On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators
N. Aizawa, I. E. Cunha, Z. Kuznetsova +1
We investigate the dynamical symmetry superalgebras of the one-dimensional Matrix Superconformal Quantum Mechanics with inverse-square potential. They act as spectrum-generating su…
Verma Modules over a Graded Superalgebra and Invariant Differential Equations
N. Aizawa
Lowest weight representations of the graded superalgebra introduced by Rittenberg and Wyler are investigated. We give a explicit construction…
The quasi-nonassociative exceptional deformed quantum oscillator
N. Aizawa, Z. Kuznetsova, F. Toppan
We present the deformed (for the presence of Calogero potential terms) one-dimensional quantum oscillator with the exceptional Lie superalgebra as spectrum-generating superc…