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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Fisica from Universidade Federal de São Carlos (1984), master's at Physic from Universidade de São Paulo (1986) and ph.d. at Physic from Universidade de São Paulo (1989). Has experience in Physic, focusing on General Theory of Particles and Fields, acting on the following subjects: modelos de vertices, yang-baxter, sistemas integraveis, modelo de hubbard and sistemas bibimensionais. (Source: Lattes Curriculum)
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The main purpose of this research is to establish a new approach to uncover relevant exactly two-dimensional solved models by exploring a direct relationship with the theory of Algebraic Geometry. We intend to develop a systematic manner to solve a high number of polynomial equations derived from the Yang-Baxter equation by combining analytical techniques with computational algorithms use…
This research project aims to investigate the mathematical and the physical properties of integrable systems that are based on super group symmetries. In particular we intend to study the physical properties of spin chains built up from mixing representations of the U_q[SL(12)] quantum superalgebra. We shall use the respective Bethe ansatz solution to extract the ground state behavior, th…
This research proposal intends to investigate several aspects related to the Physical Mathematics of two-dimensional integrable models. We will consider the exact solution of vertex models of Statistical Mechanics based on the Uq[SU(2)] quantum group at roots of unity, on the classical exceptional Lie algebras and superalgebras, on the non-compact SL(2,R) algebra as well as extensions of…
(Only some records are available in English at this moment)
The aim of this project is to unveil the algebraic invariants governing integrable classical vertex models of statistical mechanics whose number of states per edge bigger or equal to three. This problem is of central interest in the field of exactly solved models since it has direct connection with the unsolved issue of classification of solutions of the Yang-Baxter equation. We also inte…
We will make a systematic study of the applications of the group theory in the classic physics and quantum physics, with base in the book "Group Theory in Physics" of Wu-Ki Tung.
The reaserch project is concerned about the study of physical properties of integrable systems invariant by superalgebras. We plan to identify the universality classes of supersymmetric systems as well as the understanding of the phase transition of related physical systems.
(Only some records are available in English at this moment)
| 5 / 5 | Completed research grants |
| 13 / 5 | Completed scholarships in Brazil |
| 1 / 0 | Completed scholarships abroad |
| 19 / 10 | All research grants and scholarships |
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