Exact solution of vertex models with open boundaries

• Grant number: 14/20364-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: March 01, 2015
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Antonio Lima Santos
• Grantee: Rodrigo Alves Pimenta
• Supervisor: Rafael I. Nepomechie
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: University of Miami, United States
• Associated to the scholarship: 14/00453-8 - Open boundary integrability: theory and applications, BP.PD

Abstract

By means of algebraic Bethe ansatz techniques, we will investigate the spectral problem of vertex models with non-periodic boundary conditions. In particular, using similarity transformations and fusion techniques, we expect to construct Bethevectors for the SU(2)-invariant Heisenberg spin-s chain with general integrable boundary conditions. (AU)

Scientific publications

(7)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. Fusion for AdS/CFT boundary S-matrices. Journal of High Energy Physics, n. 11, NOV 24 2015. (14/20364-0, 14/00453-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain. Nuclear Physics B, v. 910, p. 885-909, SEP 2016. (14/20364-0, 14/00453-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. Universal Bethe ansatz solution for the Temperley-Lieb spin chain. Nuclear Physics B, v. 910, p. 910-928, SEP 2016. (14/20364-0, 16/50023-5, 14/00453-8)

BELLIARD, S.; PIMENTA, R. A.. Slavnov and Gaudin-Korepin formulas for models without U (1) symmetry: the XXX chain on the segment. Journal of Physics A-Mathematical and Theoretical, v. 49, n. 17, APR 29 2016. (14/20364-0, 14/00453-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. Fusion for AdS/CFT boundary S-matrices. Journal of High Energy Physics, v. N/A, n. 11, p. 17-pg., 2015-11-24. (14/20364-0, 14/00453-8)

BELLIARD, SAMUEL; PIMENTA, RODRIGO A.. Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain. Symmetry Integrability and Geometry-Methods and Applications, v. 11, 2015. (14/20364-0, 14/00453-8)

AVAN, J.; BELLIARD, S.; GROSJEAN, N.; PIMENTA, R. A.. Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof. Nuclear Physics B, v. 899, p. 229-246, OCT 2015. (14/20364-0, 14/09832-1, 14/00453-8)