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Pieri rules, vertex operators and Baxter Q-matrix

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Abstract

We use the Pieri rules to recover the q-boson model and show it is equivalent to a discretized version of the relativistic Toda chain. We identify its semi infinite transfer matrix and the corresponding Baxter Q-matrix with half vertex operators related by an $\omega$-duality transformation. We observe that the scalar product of two higher spin XXZ wave functions can be expressed with a Gaudin determinant.
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cea-01231805 , version 1 (07-02-2019)

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Antoine Duval, Vincent Pasquier. Pieri rules, vertex operators and Baxter Q-matrix. 2019. ⟨cea-01231805⟩
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