Quantum Group Symmetries for A_(2n-1)^(2) models

• Grant number: 17/03072-3
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 25, 2017
• End date: September 14, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: José Francisco Gomes
• Grantee: Ana Lúcia Retore
• Supervisor: Rafael Israel Nepomechie
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: University of Miami, United States
• Associated to the scholarship: 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects, BP.DR

Abstract

The project concerns the study of quantum group symmetries for the A_(2n-1)^(2) integrable open spin chains and the completeness of their Bethe ansatz solutions. Our conjecture is that the transfer matrix relative to two different boundary conditions for these models have symmetries U_q(C_n) and U_q(D_n).

Scientific publications

(4)

(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, I, RAFAEL; RETORE, ANA L.. Surveying the quantum group symmetries of integrable open spin chains. Nuclear Physics B, v. 930, p. 91-134, MAY 2018. (15/00025-9, 17/03072-3)

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.; RETORE, ANA L.. Towards the solution of an integrable D-2((2)) spin chain. Journal of Physics A-Mathematical and Theoretical, v. 52, n. 43, OCT 25 2019. (17/03072-3, 17/02987-8, 15/00025-9)

NEPOMECHIE, I, RAFAEL; RETORE, ANA L.. The spectrum of quantum-group-invariant transfer matrices. Nuclear Physics B, v. 938, p. 266-297, JAN 2019. (17/03072-3, 15/00025-9)