Actions for Integrable Systems and Deformed Conformal Field Theories

Jeremy Schiff

Invited talk given at the NSERC-CAP Workshop Quantum Groups, Integrable Models and Statistical Systems, Kingston, Ontario (July 1992). Published in workshop proceedings (Plenum 1993).

I report on work on a Lagrangian formulation for the simplest 1+1 dimensional integrable hierarchies. This formulation makes the relationship between conformal field theories and (quantized) 1+1 dimensional integrable hierarchies very clear.