F. Toppan

activity

20232025

collaborators

3 papers

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…

hep-th2023

Inequivalent $Z_{2}^{n}$ -graded brackets, $n$ -bit parastatistics and statistical transmutations of supersymmetric quantum mechanics

M. M. Balbino, I. P. de Freitas, R. G. Rana +1

Given an associative ring of $Z_{2}^{n}$ -graded operators, the number of inequivalent brackets of Lie-type which are compatible with the grading and satisfy graded Jacobi identities is…

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

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

Inequivalent Z2n​-graded brackets, n-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics

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

Inequivalent $Z_{2}^{n}$ -graded brackets, $n$ -bit parastatistics and statistical transmutations of supersymmetric quantum mechanics