CV Lattes
ORCID
Abstract
This project concerns the study of integrable hierarchies within its algebraic formulation and zero curvature representation. (AU)
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graduation in Physics from Universidade de São Paulo (1979), Master in Science at Fisica IFT from Universidade Estadual Paulista Júlio de Mesquita Filho (1982) and Phd from Imperial College Of Science And Technology (1987). Has experience in Physics, focusing on Mathematical Methods of Physics, acting on the following subjects: integrabilidade, solitons, algebra de kac-moody, conformal invariance and a kac-moody algebras. (Source: Lattes Curriculum)
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Research grants
- Integrable defects, solitons and Backlund transformations, AP.R
Abstract
The object of this project is to study the structure of non-linear equations (integrable) constructed in terms of an affine algebraic structure and the so called zero curvature representation. The algebraic methods employed are general and systematic for the construction of a series of time evolution equations known as hierarchy, its soliton solutions and Backlund transformations. The lat…
- Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, AP.R
Abstract
This project aims the study of the structure of a class of nonlinear equations constructed in terms of an affine algebraic structure and a zero curvature representation.The algebraic methods employed are systematic and sufficiently general for the construction of a series of equations of motion, dubbed hierarchy, its soliton solutions and the corresponding Backlund transformation…
- Integrable models with defects and Backlund transformations, AV.EXT
Abstract
The object of this project is to develop a study of integrable models with defects involving both, bosons and fermions. Systems in the half line will also be of interest. (AU)
(Only some records are available in English at this moment)
Scholarships in Brazil
- Generalized Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, BP.MS
Abstract
The object of this project is to give continuity to the study of Integrable Hierarchies that is being developed in IFT-Unesp in the past few years. It consist in studing a class on nonlinear equations constructed from an algebraic structure and zero curvature representation.
- Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, BP.TT
- Infinite Algebras, Solitons and Integrable Defects, BP.DR
Abstract
This project aims to study a class of non-linear (integrable) equations constructed in terms of an affine algebraic structure and the so called zero curvature representation. The algebraic methods used are systematic and sufficiently general for the construction of a series of time evolution equations named hierarchy, their soliton solutions and the so called Backlund transformations. …
- Integrable defects and backlund transformations for affine toda hierarchies, BP.MS
Abstract
The aim of this project is to study a class of nonlinear integrable equations constructed from an affine algebraic structure and the zero curvature representation. The algebraic methods employed are general and sistematic in order to construct a series of time evolution equations dubbed integrable hierarchy, its soliton solutions and Backlund transformations. The latter are employed to de…
- Backlund transformations in integrable hierarchies, solitons and integrable defects, BP.DR
Abstract
This project intends to study and construct sistematically the Backlund Transformations for integrable hierarchies and its applications in models with defects. (AU)
- Semiclassical quantization and integrable models, BP.MS
Abstract
This project is based on the application of semi-classical methods to obtain the spectra of field theories presenting kink type excitations. Particular attention will be given to sine-Gordon type models (double sine-Gordon) with or without supersymmetry.
(Only some records are available in English at this moment)
Scholarships abroad
- Finding Integrable Deformations, BE.EP.DR
Abstract
Integrable models constitute an important topic in physics, as they provide techniques to obtain exact solutions for certain physical systems. This work aims to develop a systematic formalism to classify deformations that preserve the integrability of models using the Boost operator technique. Specifically, we aim to apply this formalism to obtain integrable deformations of the Hubbard mo…
- Quantum Group Symmetries for A_(2n-1)^(2) models, BE.EP.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).
Total / Available in English
| 1 / 1 | Ongoing grants |
| 21 / 18 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 11 / 4 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 3 / 1 | Completed scholarships abroad |
| 40 / 28 | All research grants and scholarships |
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