The discussion centers on the omission of integrable models from the mathematics section of the official string theory site. It is established that string theory, particularly free string theory, is an integrable model. However, interacting string theory, which is prevalent in most theories, lacks integrability. Notably, the interacting theory is still governed by the same free Lagrangian as the free theory.
PREREQUISITESThe discussion is beneficial for theoretical physicists, mathematicians specializing in integrable systems, and students of string theory seeking to deepen their understanding of the relationship between integrability and string models.