Liouville theory with a central charge less than one
Mon, Dec. 15th 2014, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We argue that for any value $c leq 1$ of the central charge there exists a consistent CFT whose spectrum is the same as in Liouville theory. This extends the definition and consistency of Liouville theory to all complex values of $c$. On the other hand there is no consistent ``timelike Liouville theory''. Our claims are backed by numerical tests of crossing symmetry of the four-point function.