An Isaac Newton Institute Programme

Principles of the Dynamics of Non-Equilibrium Systems

The Schrodinger-Virasoro algebra: a mathematical structure between conformal field theory and non-equilibrium dynamics

16th March 2006

Author: J. Unterberger (Univ. Henri Poincare, Nancy)

Abstract

We explore the mathematical structure of the infinite-dimensional Schrodinger-Virasoro algebra, and discuss possible applications to the integrability of anisotropic or out-of-equilibrium statistical systems with a dynamic exponent z different from 1 by defining several correspondences with conformal field theory.