Abstract
In 1993, Baxter gave eigenvalues of the transfer matrix of the N-state superintegrable chiral Potts model with the spin-translation quantum number Q, where mQ = ⌊(NL − L − Q)/N⌋. In our previous paper we studied the Q = 0 ground-state sector, when the size L of the transfer matrix is chosen to be a multiple of N. It was shown that the corresponding τ2 matrix has a degenerate eigenspace generated by the generators of r = m0 simple algebras. These results enable us to express the transfer matrix in the subspace in terms of these generators E±m and Hm for m = 1, …, r. Moreover, the corresponding 2r eigenvectors of the transfer matrix are expressed in terms of rotated eigenvectors of Hm.
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