مشخصات پژوهش

By solving algebraic relations for the conditions of Haantjes structure on a Lie algebra G and by using the corresponding automorphism group we proceed to classify all inequivalent algebraic Haantjes structures on G. In this manner, we obtain 49 inequivalent algebraic Haantjes structures on the ℎ4 Lie algebra. We propose a new deformation of the chiral sigma model on a Lie group by using Haantjes structure on it. Then, we will try to obtain conditions on this structure such that the deformed sigma model remains to be integrable. Finally, using the ℎ4 Haantjes structures and solving the conditions on the integrability of the model, we find three new integrable sigma models on the 𝐻4 Lie group.