Integrable lattice models based on super groups

• Grant number: 10/08797-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 01, 2010
• End date: December 14, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcio Jose Martins
• Grantee: Marcio Jose Martins
• Visiting researcher: Holger Frahm
• Visiting researcher institution: Leibniz Universität Hannover, Germany
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 09/01804-0 - Physical mathematics of integrable systems, AP.TEM

Abstract

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, the nature of the excitations as well as the finite-size properties governing the underlying critical behavior. (AU)