The quasi-particle structure of the higher spin XXZ model is studied. We obtained a new description of crystals associated with the level k integrable highest weight U-q(<(sl(2))over cap>) modules in terms of the creation operators at q = 0 (the crystalline spinon basis). The fermionic character formulas and the Yangian structure of those integrable modules naturally follow from this description. We have also derived the conjectural formulas for the multi quasi-particle states at q = 0.
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Duke Univ, Med Ctr, Dept Psychiat & Behav Sci, Durham, NC 27708 USA
Duke Univ, Med Ctr, Brain Imaging & Anal Ctr, Durham, NC 27708 USADuke Univ, Med Ctr, Dept Psychiat & Behav Sci, Durham, NC 27708 USA
Weingarten, Carol P.
Doraiswamy, P. Murali
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Duke Univ, Med Ctr, Dept Psychiat & Behav Sci, Durham, NC 27708 USA
Duke Univ, Duke Inst Brain Sci, Durham, NC USADuke Univ, Med Ctr, Dept Psychiat & Behav Sci, Durham, NC 27708 USA
Doraiswamy, P. Murali
Fisher, Matthew P. A.
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Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USADuke Univ, Med Ctr, Dept Psychiat & Behav Sci, Durham, NC 27708 USA