Ren Ito

activity

20242026

Z_{2}^{2}

-graded Extensions of the Liouville and Sinh-Gordon Theories

8 citations · 13 across the 6 of their papers we have counts for

collaborators

7 papers

nlin.SI2026

An integrable $Z_{2}^{2}$ -graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

N. Aizawa, Ichi Fujii, Ren Ito +1

By constructing Lax operators in the loop algebra of the $Z_{2}^{2}$ -graded extension of the Lie superalgebra $osp (1∣2)$ , we derive a $Z_{2}^{2}$ -graded extens…

hep-th2026

On Generalized Statistics and Stability in $Z_{2}^{2}$ -Graded Supersymmetric Yang-Mills Theory

Ren Ito, Akio Nago, Shou Tanigawa

In the standard formulation of relativistic quantum field theory, a $Z_{2}$ -graded structure is assumed to realize locality and the boson-fermion dichotomy. While $\mathbb{Z…

math-ph2025

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-ph2025

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…

hep-th2025

Novel possible symmetries of $S$ -matrix generated by $Z_{2}^{n}$ -graded Lie superalgebras

Ren Ito, Akio Nago

In this paper, we explore the $Z_{2}^{n}$ -graded Lie (super)algebras as novel possible generators of symmetries of $S$ -matrix. As the results, we demonstrate that a $\mathbb{Z…

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…

An integrable Z22​-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

On Generalized Statistics and Stability in Z22​-Graded Supersymmetric Yang-Mills Theory

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)

Novel possible symmetries of S-matrix generated by Z2n​-graded Lie superalgebras

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

N=2 Double graded supersymmetric quantum mechanics via dimensional reduction