N. Aizawa

most citedAffine extensions of

Z_{2}^{2}

-graded

os p (1∣2)

and Virasoro algebra

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math-ph2026

Integrable $Z_{2}^{2}$ -graded super-Liouville Equation and Induced $Z_{2}^{2}$ -graded super-Virasoro Algebra

Naruhiko Aizawa, Ichi Fujii, Ren Ito +2

We present a framework for enlarging the construction of $Z_{2}^{2}$ -graded classical Toda theory from the class of $Z_{2}^{2}$ -graded Lie algebras to the class of $\math…

math-ph2026

An integrable hierarchy associated with loop extension of $Z_{2}^{2}$ -graded $osp (1∣2)$

N. Aizawa, I. Fujii, R. Ito

A hierarchy of $Z_{2}^{2}$ -graded integrable equations is constructed using the loop extension of the $Z_{2}^{2}$ -graded Lie superalgebra $osp (1∣2)$ . This hier…

math-ph2026★ 2 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.GT2025

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-ph2025

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…

Integrable Z22​-graded super-Liouville Equation and Induced Z22​-graded super-Virasoro Algebra

An integrable hierarchy associated with loop extension of Z22​-graded osp(1∣2)

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

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

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

Integrable $Z_{2}^{2}$ -graded super-Liouville Equation and Induced $Z_{2}^{2}$ -graded super-Virasoro Algebra

An integrable hierarchy associated with loop extension of $Z_{2}^{2}$ -graded $osp (1∣2)$

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

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

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