| Grant number: | 12/13866-3 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | October 01, 2012 |
| End date: | September 30, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields |
| Principal Investigator: | Abraham Hirsz Zimerman |
| Grantee: | Alexis Roa Aguirre |
| 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): | 13/09969-4 - Folding in quantum groups, fusing defects and transmission matrices, BE.EP.PD |
Abstract This project concerns the study of different classical and quantum aspects of the integrable type-II defects in two-dimensional field theories. In particular, at quantum level we are interested in constructing the transmission matrices for the integrable defects allowed in Toda models associated specially with the non-simply laced affine Lie algebras B_n^{(1)} and C_n^{(1)}, by solving a linear intertwining relation between a finite dimensional representation of the relevant Borel subalgebra of the associated quantum groups U_q(G) and a particular infinite dimensional representation expressed in terms of sets of generalized quantum annihilation and creation operators. The main motivation is to describe the scattering of the solitons with the type-II defects within these kind of affine Toda models.On the other hand, the purpose of this project at classical level is to search the possible Lagrangian description of integrable type-II defects within the non-linear Schrodinger model by computing its defect matrix at higher orders in the spectral parameter and also to investigate the ''off-shell'' Hamiltonian approach for the massive Thirring model with integrable type-II defects using the r-matrix formalism or sometimes called classical and quantum inverse scattering methods. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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