Eigenvectors in the superintegrable model II: Ground-state sector

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 m_Q = ⌊(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 E¹ _m and H_m for m = 1, ..., r. Moreover, the corresponding 2^r eigenvectors of the transfer matrix are expressed in terms of rotated eigenvectors of H_m.