N. Aizawa

activity

20232026

Z_{2}^{2}

-graded Extensions of the Liouville and Sinh-Gordon Theories

8 citations · 24 across the 7 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.GT2024★ 1 cited

Universal weight systems from a minimal $Z_{2}^{2}$ -graded Lie algebra

N. Aizawa, Daichi Kimura

Color Lie algebras, which were introduced by Ree, are a graded extension of Lie (super)algebras by an abelian group. We show that the color Lie algebras can be used to construct un…

math-ph2024★ 3 cited

Affine extensions of $Z_{2}^{2}$ -graded $os p (1∣2)$ and Virasoro algebra

N. Aizawa, J. Segar

It is known that there are two inequivalent $Z_{2}^{2}$ -graded $os p (1∣2)$ Lie superalgebras. Their affine extensions are investigated and it is shown that one of them admits t…

math-ph2024★ 8 cited

Integrable $Z_{2}^{2}$ -graded Extensions of the Liouville and Sinh-Gordon Theories

Naruhiko Aizawa, Ren Ito, Zhanna Kuznetsova +2

In this paper we present a general framework to construct integrable $Z_{2}^{2}$ -graded extensions of classical, two-dimensional Toda and conformal affine Toda theories. The s…

math-ph2024★ 5 cited

$N = 2$ Double graded supersymmetric quantum mechanics via dimensional reduction

N. Aizawa, Ren Ito, Toshiya Tanaka

We present a novel $N = 2$ $Z_{2}^{2}$ -graded supersymmetric quantum mechanics ( $Z_{2}^{2}$ -SQM) which has different features from those introduced so far. It…

Universal weight systems from a minimal Z22​-graded Lie algebra

Affine extensions of Z22​-graded osp(1∣2) and Virasoro algebra

Integrable Z22​-graded Extensions of the Liouville and Sinh-Gordon Theories

N=2 Double graded supersymmetric quantum mechanics via dimensional reduction

Universal weight systems from a minimal $Z_{2}^{2}$ -graded Lie algebra

Affine extensions of $Z_{2}^{2}$ -graded $os p (1∣2)$ and Virasoro algebra

Integrable $Z_{2}^{2}$ -graded Extensions of the Liouville and Sinh-Gordon Theories

$N = 2$ Double graded supersymmetric quantum mechanics via dimensional reduction