On rational R-matrices with adjoint SU(n) symmetry

Published 8 Jun 2016 in math-ph, cond-mat.str-el, hep-th, and math.MP | (1606.02516v2)

Abstract: Using the representation theory of Yangians we construct the rational R-matrix which takes values in the adjoint representation of SU(n). From this we derive an integrable SU(n) spin chain with lattice spins transforming under the adjoint representation. However, the resulting Hamiltonian is found to be non-Hermitian.

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