| Grant number: | 12/02144-7 |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| Start date: | April 01, 2012 |
| End date: | March 31, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics |
| Principal Investigator: | Antonio Lima Santos |
| Grantee: | Ricardo Soares Vieira |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
Abstract Algebraic Bethe Ansatz and ApplicationsThe Bethe Ansatz is a powerful mathematical technique that allows the exact calculation of physical properties of integrable systems. This technique proposed in the late 70 provided a number of developments, revealing connections between several areas of physics and mathematics.In this project we intend to continue studying a number of problems associated with the formulation of the Algebraic Bethe Ansatz for Lie algebras and superalgebras. More specifically we intend to discuss the following issues:1. Formulation of the Algebraic Bethe Ansatz for integrable systems invariant by the D_{n +1}^(2) and osp(2n|2m)^(2) symmetries with both open and closed boundaries.2. Construction of the Gaudin magnets and solutions of the Knizhnik-Zamolodchikov equation associated with the D_{n +1}^(2) and osp (2n|2m)^(2) algebras with both open and closed boundaries.3. Classication of the solutions of the reflection equations and of the integrable boundaries for supersymmetric generalizations of the Temperley-Lieb algebras. | |
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