Integrable higher order deformations of Heisenberg supermagnetic model

The Heisenberg supermagnet model is an integrable supersymmetric system and has a close relationship with the strong electron correlated Hubbard model. In this paper, we investigate the integrable higher order deformations of Heisenberg supermagnet models with two different constraints: (i) S 2 = 3 S − 2 I for S ∊ U S P L ( 2 / 1 ) / S ( U ( 2 ) × U ( 1 ) ) and (ii) S 2 = S for S ∊ U S P L ( 2 / 1 ) / S ( L ( 1 / 1 ) × U ( 1 ) ) . In terms of the gauge transformation, their corresponding gauge equivalent counterparts are derived.