# On KdV characters in large c CFTs

### Submission summary

 As Contributors: Enrico Brehm Preprint link: scipost_201906_00001v1 Date submitted: 2019-06-11 Submitted by: Brehm, Enrico Submitted to: SciPost Physics Domain(s): Theoretical Subject area: High-Energy Physics - Theory

### Abstract

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 even 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. The latter give us insights into possible transformation properties of the characters. We also comment on the full generalized Gibbs ensemble and approximations to pure states.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission scipost_201906_00001v1 on 11 June 2019