Sigma model from image spin chain Original Research Article

We derive the coherent state representation of the integrable spin chain Hamiltonian with supersymmetry group image. By the use of a projected Hamiltonian onto bosonic states, we give explicitly the action of the Hamiltonian on image coherent states. Passing to the continuous limit, we find that the corresponding bosonic sigma model is the sum of the known image and image ones, and thus it gives a string spinning fast on image in image. The full sigma model on the supercoset image is given.