Pieri rules, vertex operators and Baxter Q-matrix - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Pieri rules, vertex operators and Baxter Q-matrix

(1) , (2)
1
2
Antoine Duval
• Function : Author
Vincent Pasquier
• Function : Correspondent author
• PersonId : 973094

Connectez-vous pour contacter l'auteur

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.

Dates and versions

cea-01231805 , version 1 (07-02-2019)

Identifiers

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

Cite

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

106 View