Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain

Author(s)

Belliard, Samuel ^[1] ; Pimenta, Rodrigo A. ^{[2, 3]}

Affiliation

^[1] Univ Cergy Pontoise, Lab Phys Theor & Modelisat CNRS UMR 8089, F-95302 Cergy Pontoise - France

^[2] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil

^[3] Univ Miami, Dept Phys, Coral Gables, FL 33124 - USA

• Document type: Journal article
• Source: Symmetry Integrability and Geometry-Methods and Applications; v. 11, 2015.
• Web of Science Citations: 7

Abstract

We consider the XXX spin-1/2 Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and its dual. We obtain modified Slavnov and Gaudin-Korepin formulas for the model. Thus we provide a first example of such formulas for quantum integrable models without U(1) symmetry characterized by an inhomogenous Baxter T-Q equation. (AU)

• FAPESP's process: 14/20364-0 - Exact solution of vertex models with open boundaries
• Grantee: Rodrigo Alves Pimenta
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 14/00453-8 - Open boundary integrability: theory and applications
• Grantee: Rodrigo Alves Pimenta
• Support Opportunities: Scholarships in Brazil - Post-Doctoral