Integrable models, solitons and duality

• Grant number: 04/03444-8
• Support Opportunities: Research Projects - Thematic Grants
• Start date: December 01, 2004
• End date: October 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Abraham Hirsz Zimerman
• Grantee: Abraham Hirsz Zimerman
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Pesquisadores principais: José Francisco Gomes ; Luiz Agostinho Ferreira
• Associated research grant(s): 10/00802-1 - The concept of quasi-integrability and vortices for effective theories of Yang-Mills, AV.EXT; 09/17651-9 - Painleve equations in the Hamiltonian formalism and realization of the affine Weyl symmetry, AV.EXT; 04/15573-7 - Henrik Aratyn | University of Illinois at Chicago - Estados Unidos, AV.EXT
• Associated scholarship(s): 08/07635-3 - Exact solutions for effective theories of non-abelian gauge theories, BP.MS; 08/08437-0 - The Integrability of Two Dimensional Models with Backlund Defects, BP.PD

Abstract

This project aims to give continuity to the study of symmetries and soliton solutions in integrable models and their applications to the field theory and elementary particles. In particular, this project will be developed through the application of Lie algebraic methods, both in the formulation of integrable models in two or more dimensions as well as in the construction of soliton solutions in non linear equations. (AU)