N. Aizawa

activity

19932023

most citedShape-invariant potentials and an associated coherent state

87 citations · 423 across the 43 of their papers we have counts for

collaborators

43 papers

math-ph2023★ 5 cited

Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models

Naruhiko Aizawa, Haru-Tada Sato

We discuss the Curtright-Zachos (CZ) deformation of the Virasoro algebra and its extentions in terms of magnetic translation (MT) group in a discrete Bloch electron system, so-call…

math-ph2022★ 14 cited

Irreducible representations of $Z_{2}^{2}$ -graded $N = 2$ supersymmetry algebra and $Z_{2}^{2}$ -graded supermechanics

N. Aizawa, S. Doi

Irreducible representations (irreps) of $Z_{2}^{2}$ -graded supersymmetry algebra of $N = 2$ are obtained by the method of induced representation and they are used to deri…

math-ph2021★ 17 cited

Comments of $Z_{2}^{2}$ -supersymmetry in superfield formalism

S. Doi, N. Aizawa

We investigate superfield formulation of the minimal $Z_{2}^{2}$ -supersymmetry. It is shown that the integrability on $Z_{2}^{2}$ -superspace guarantees the invariance of…

math.RT2021★ 1 cited

Invariant differential operators for the Jacobi algebra $G_{2}$

N. Aizawa, V. K. Dobrev

In the present paper we construct explicitly the intertwining differential operators for the Jacobi algebra $G_{2} .$ For the construction we use the singular vectors of the Ve…

math.RT2021★ 2 cited

Classification of the Reducible Verma Modules over the Jacobi Algebra $G_{2}$

N. Aizawa, V. K. Dobrev, S. Doi

In the present paper we study the representations of the Jacobi algebra. More concretely, we define, analogously to the case of semi-simple Lie algebras, the Verma modules over the…

math-ph2021★ 9 cited

$Z_{2}^{3}$ -Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics

Shunya Doi, Naruhiko Aizawa

Quantum mechanical systems whose symmetry is given by $Z_{2}^{3}$ -graded version of superconformal algebra are introduced. This is done by finding a realization of a $\mathbb{…

Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models

Irreducible representations of Z22​-graded N=2 supersymmetry algebra and Z22​-graded supermechanics

Comments of Z22​-supersymmetry in superfield formalism

Invariant differential operators for the Jacobi algebra G2​

Classification of the Reducible Verma Modules over the Jacobi Algebra G2​

Z23​-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics

Irreducible representations of $Z_{2}^{2}$ -graded $N = 2$ supersymmetry algebra and $Z_{2}^{2}$ -graded supermechanics

Comments of $Z_{2}^{2}$ -supersymmetry in superfield formalism

Invariant differential operators for the Jacobi algebra $G_{2}$

Classification of the Reducible Verma Modules over the Jacobi Algebra $G_{2}$

$Z_{2}^{3}$ -Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics