Toshiya Tanaka

most cited

N = 2

Double graded supersymmetric quantum mechanics via dimensional reduction

5 citations · 5 across the 1 of their papers we have counts for

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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-ph2024

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…

math-ph2023

$Z_{2}^{2}$ -graded supersymmetry via superfield on minimal $Z_{2}^{2}$ -superspace

N. Aizawa, Ren Ito, Toshiya Tanaka

A superfield formalism for the minimal $Z_{2}^{2}$ -graded version of supersymmetry is developed. This is done by using the recently introduced definition of integration on the…

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

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

N=2 Double graded supersymmetric quantum mechanics via dimensional reduction

Z22​-graded supersymmetry via superfield on minimal Z22​-superspace

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

$Z_{2}^{2}$ -graded supersymmetry via superfield on minimal $Z_{2}^{2}$ -superspace