Algebraic Bethe ansatz for the six vertex model with upper triangular K-matrices

Author(s)

Pimenta, R. A. ^[1] ; Lima-Santos, A. ^[1]

Affiliation

^[1] Univ Fed Sao Carlos, Dept Fis, BR-13569905 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 46, n. 45 NOV 15 2013.
• Web of Science Citations: 19

Abstract

We consider a formulation of the algebraic Bethe ansatz for the six vertex model with non-diagonal open boundaries. Specifically, we study the case where both left and right K-matrices have an upper triangular form. We show that the main difficulty entailed by those forms of the K-matrices is the construction of the excited states. However, it is possible to treat this problem with the aid of an auxiliary transfer matrix and by means of a generalized creation operator. (AU)

• FAPESP's process: 11/18729-1 - Gravitation and cosmology: structural questions and applications
• Grantee: Elcio Abdalla
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 12/13126-0 - Integrable Boundaries in Statistical Mechanics
• Grantee: Rodrigo Alves Pimenta
• Support Opportunities: Scholarships in Brazil - Doctorate