A non-rational CFT with <i>c</i> = 1 as a limit of minimal models

Abstract

We investigate the limit of minimal model conformal field theories where the\ncentral charge approaches one. We conjecture that this limit is described by a\nnon-rational CFT of central charge one. The limiting theory is different from\nthe free boson but bears some resemblance to Liouville theory. Explicit\nexpressions for the three point functions of bulk fields are presented, as well\nas a set of conformal boundary states. We provide analytic and numerical\narguments in support of the claim that this data forms a consistent CFT.\n