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Pieri rules, vertex operators and Baxter Q-matrix

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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Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, February 7, 2019 - 3:59:18 PM
Last modification on : Monday, February 10, 2020 - 6:13:42 PM
Document(s) archivé(s) le : Wednesday, May 8, 2019 - 2:52:38 PM


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  • HAL Id : cea-01231805, version 1
  • ARXIV : 1510.08709


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



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