Spectral Duality Between Heisenberg Chain and Gaudin Model

Understand

In our recent paper we described relationships between integrable systems inspired by the AGT conjecture.

• On the gauge theory side an integrable spin chain naturally emerges while on the conformal field theory side one obtains some special reduced Gaudin model.
• Two types of integrable systems were shown to be related by the spectral duality.
• In this paper we extend the spectral duality to the case of higher spin chains.