# Pieri rules, vertex operators and Baxter Q-matrix

* Corresponding author
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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Preprints, Working Papers, ...

Cited literature [40 references]

https://hal-cea.archives-ouvertes.fr/cea-01231805
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Submitted on : Thursday, February 7, 2019 - 3:59:18 PM
Last modification on : Monday, February 10, 2020 - 6:13:42 PM
Long-term archiving on: : Wednesday, May 8, 2019 - 2:52:38 PM

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### Identifiers

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

### Citation

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

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