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Backlund transformations in integrable hierarchies, solitons and integrable defects

Grant number: 15/00025-9
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2015
Effective date (End): August 20, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:José Francisco Gomes
Grantee:Ana Lúcia Retore
Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated research grant:09/16982-1 - Solitons, infinite symmetries and integrable field theories, AP.TEM
Associated scholarship(s):17/03072-3 - Quantum Group Symmetries for A_(2n-1)^(2) models, BE.EP.DR

Abstract

This project intends to study and construct sistematically the Backlund Transformations for integrable hierarchies and its applications in models with defects. (AU)

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Scientific publications (8)
(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, . (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, . (16/50023-5, 15/00025-9, 17/03072-3, 17/02987-8, 14/00453-8)
AGUIRRE, A. R.; RETORE, A. L.; GOMES, J. F.; SPANO, N. I.; ZIMERMAN, A. H.. Defects in the super symmetric mKdV hierarchy via Backlund transformations. Journal of High Energy Physics, n. 1, . (15/00025-9)
GOMES, J. F.; RETORE, A. L.; ZIMERMAN, A. H.. Construction of type-II Backlund transformation for the mKdV hierarchy. Journal of Physics A-Mathematical and Theoretical, v. 48, n. 40, . (15/00025-9)
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, . (17/03072-3, 15/00025-9)
GOMES, J. F.; RETORE, A. L.; ZIMERMAN, A. H.. Miura and generalized Backlund transformation for KdV hierarchy. Journal of Physics A-Mathematical and Theoretical, v. 49, n. 50, . (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, . (17/03072-3, 15/00025-9)
AGUIRRE, A. R.; RETORE, A. L.; GOMES, J. F.; SPANO, N. I.; ZIMERMAN, A. H.. Defects in the super symmetric mKdV hierarchy via Backlund transformations. Journal of High Energy Physics, v. N/A, n. 1, p. 39-pg., . (15/00025-9)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
RETORE, Ana Lúcia. Aspects of classical and quantum integrable models. 2019. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo São Paulo.

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