Integrable models and the frontiers of physics?

[pivoxa15]

How important is the role of integrable models in today's and future development of theories of fundamental physics?

Any examples?

 

[mjsd]

i guess pretty much everything can be linked to integrable models, as long as you have some differential equations. Prime examples are QM, conformal field theory, statistical mechanics, topological defects etc.

 

[PhysiSmo]

Furthermore, could anyone pinpoint me some examples of merging integrability with string theory? Perhaps in non-perturbative aspects of the theory?

 

[Count Iblis]

I'm not sure it is important for physics. If we did not know how to solve models exactly using e.g. the Yang-Baxter equation, Bethe Ansatz etc., we would still be able to deduce almost everything we know today about models in general using RG arguments, conformal symmetry etc. etc.