Abstract
This project intends to study and construct sistematically the Backlund Transformations for integrable hierarchies and its applications in models with defects. (AU)
Universidade Estadual Paulista (UNESP). Campus de São Paulo. Instituto de Física Teórica (IFT) (Institutional affiliation from the last research proposal) Birthplace: Brazil
BSc. in Physics by Universidade Federal de Santa Catarina (2012). MSc. Physics by the Instituto de Física Teorica - Unesp (2015) and PhD in Physics by the Instituto de Física Teórica - Unesp (2019). Retore spent one year of her PhD at University of Miami. After a first Postdoctoral position in Trinity College Dublin (2019-2022), she moved to Durham University, in the UK as a postdoc. Nowadays, she focuses her research on Quantum integrability and integrability in AdS/CFT. (Source: Lattes Curriculum)
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This project intends to study and construct sistematically the Backlund Transformations for integrable hierarchies and its applications in models with defects. (AU)
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).
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