Bethe Ansatz Equations and Restricted Solid-on-Solid model

Supervisor

Prof. Vladimir Bazhanov Phone: 61255500

The Restricted Solid-on-Solid (RSOS) model is an exactly solvable model of statistical mechanics which has a wide range of applications in physics and mathematics, in particular the theory of phase transitions, conformal field theory, combinatorics and the theory of Rogers-Ramanujan identities. Despite extensive studies of the model its complete Bethe-Ansatz solution is still unknown. The purpose of the project is the analytical and numerical study of patterns of roots of the Bethe-Ansatz equations in the model.