A two-dimensional family of integrable coupled Dirac-scalar theories in 1+1 dimensions is obtained as the orbit of the Dirac-sinh-Gordon system under the U(1)×U(1) maximal torus of PSL(2,C), with integrability preserved because automorphisms of sl(2,C) leave the zero-curvature condition invariant.
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Integrable deformations of the Dirac--sinh-Gordon system
A two-dimensional family of integrable coupled Dirac-scalar theories in 1+1 dimensions is obtained as the orbit of the Dirac-sinh-Gordon system under the U(1)×U(1) maximal torus of PSL(2,C), with integrability preserved because automorphisms of sl(2,C) leave the zero-curvature condition invariant.