On KdV characters in large c CFTs

Understand

Two-dimensional conformal field theories with just Virasoro symmetry are endowed with integrable structure.

• We review how to construct the integrable charges in a two-dimensional conformal field theory and how to relate them to the charges of quantum Sinh-Gordon theory when c>25.
• We then explicitly calculate the single charge characters in the large c limit for all charges and thereby reveal how their degeneracies grow within one module.
• This, in particular, allows us to approximate the characters in the limit of small chemical potential, which source the respective charges.