Non-unitary observables in the 2d critical Ising model

Louis-Pierre Arguin, Yvan Saint-Aubin
2002 Physics Letters B  
We introduce three non-local observables for the two-dimensional Ising model. At criticality, conformal field theory may be used to obtain theoretical predictions for their behavior. These formulae are explicit enough to show that their asymptotics are described by highest weights h_pq from the Kac table for c=1/2 distinct from those of the three unitary representations (0, 1/16 and 1/2).
doi:10.1016/s0370-2693(02)02228-1 fatcat:vuz65pcbgzggpcufqboyqvxc4q