A non-rational CFT with c=1 as a limit of minimal models

Details A non-rational CFT with c=1 as a limit of minimal models A non-rational CFT with c=1 as a limit of minimal models

2001-07-13

arxiv.org/abs/hep-th/0107118v1

JHEP 0109:006,2001

Physics

High Energy Physics

High Energy Physics - Theory

latex2e, 37 pages, 4 figures

Scientific paper

10.1088/1126-6708/2001/09/006

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

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