Yang-Baxter and Kac-Moody algebras in field theory with solitons (Q1081760)

The author gives a brief report on a specific class of integrable field theories, which include sigma models in a generalized sense, sigma models including Wess-Zumino terms, chiral invariant fermionic models, and the Gross-Neveu model. Many quantum theories of this class have the property of being asymptotically free and exhibit dynamical generation of mass. These quantum properties together with the chiral invariance and the presence of instantons in some of these theories make them appealing models in field theory and condensed matter physics. In this note the author discusses the quantum algebra of currents and monodromy matrices.