Volume 394 - RDP online workshop "Recent Advances in Mathematical Physics" (Regio2020) - Session 5
Generating Functional for the S-Matrix in Liouville Theory
We recently proposed a functional integral representation for the generating functional of $S$-matrix elements of Liouville theory on a cylinder. The functional integral is defined in terms of a non-local one-dimensional action on a circle. We review and elaborate on this proposal and subject it to non-perturbative checks.