# Timelike Liouville theory Timelike Liouville theory is believed to be the unique non-compact CFT that solves the bootstrap with central charge $c<1$. It is important to know that the correlation functions of timelike Liouville are not the analytic continuation of spacelike Liouville. Unlike spacelike Liouville, timelike Liouville is never unitary for any $c<1$. ## The spectrum The spectrum of timelike Liouville consists of a continuum of scalar primaries $P>0$. ## Refs - main - [[2011#Harlow, Maltz, Witten]] - [[2015#Ribault, Santachiara]] - [[2019#Bautista, Dabholkar, Erbin]] - [[0573 Crossing kernel|crossing kernels]] - [[2023#Ribault, Tsiares]] - bootstrap and OPE contour - [[2023#Rodriguez]] - [[2015#Ribault, Santachiara]] - boundary conditions - [[2011#Bautista, Bawane]]: FZZT-like - [[2023#Collier, Eberhardt, Muhlmann, Rodriguez]]: ZZ-like (called half-ZZ) - disk one-point function - [[2026#Giribet, Sivilotti]]