Integrable ${\mathbb{Z}}_2^2$-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 ${\mathbb{Z}}_2^2$-graded extensions of classical, two-dimensional Toda and conformal affine Toda theories. The s…