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

TY - JOUR

T1 - A non-rational CFT with c=1 as a limit of minimal models

AU - Runkel, I

AU - Watts, G M T

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

U2 - 10.1088/1126-6708/2001/09/006

DO - 10.1088/1126-6708/2001/09/006

M3 - Article

SN - 1029-8479

VL - 9

SP - XVI-40

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - JHEP09(2001)006

ER -