Open boundary integrability: theory and applications

• Grant number: 14/00453-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2014
• End date: May 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Antonio Lima Santos
• Grantee: Rodrigo Alves Pimenta
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 11/18729-1 - Gravitation and cosmology: structural questions and applications, AP.TEM
• Associated scholarship(s): 14/20364-0 - Exact solution of vertex models with open boundaries, BE.EP.PD

Abstract

We shall analyze many aspects concerning the integrability for systems with open boundaries conditions. Our main focus will be the study of vertex models with non-diagonal reflection matrices by means of Bethe ansatz techniques, including their algebraic and analytical versions. Possible applications in the AdS/CFT correspondence will be also considered.

Scientific publications

(9)

(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)

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.; RETORE, ANA L.. The integrable quantum group invariant A2n-1((2)) and Dn+1((2)) open spin chains. Nuclear Physics B, v. 924, p. 86-127, NOV 2017. (16/50023-5, 15/00025-9, 17/03072-3, 17/02987-8, 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.. Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases. Nuclear Physics B, v. 894, p. 527-552, MAY 2015. (14/09832-1, 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)