The two-channel Kondo model as a generalized one-dimensional inverse square long-range Haldane-Shastry spin model

Majorana fermion representations of the algebra associated with spin, charge, and flavour currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with long-range impurity spin-spin interactions at different imaginary times. In the semiclassical limit, it is equivalent to a one-dimensional Heisenberg spin chain with two-spin, three-spin, etc, long-range interactions, as a generalization of the inverse-square long-range Haldane-Shastry model. In this representation the elementary excitations are `semions', and the non-Fermi liquid low energy properties of the two-channel Kondo model are recovered.