Exactly Solvable SU(M) Spin Chain with Long-Range Interactions

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  • Exactly Solvable SU(<I>M</I>) Spin Chain with Long-Range Interactions
  • Exactly Solvable SU M Spin Chain with L
  • Exactly Solvable SU(<i><i>M</i></i>) Spin Chain with Long-Range Interactions<sup>*</sup>

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We present an exactly solvable quantum SU(M) (M: arbitrary integer ≥2) spin chain with long-range (∼inverse-square) interactions. The model generalizes the so-called Haldane-Shastry system which corresponds to M=2. We find the Lax pair for the system which guarantees the integrability of the system. An exact many-body ground-state wave function with particular symmetry is explicitly constructed.

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