REVIEW 2 cited by
Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Recently, two of us argued that the probability that an FK cluster in the Q-state Potts model connects three given points is related to the time-like Liouville three-point correlation function. Moreover, they predicted that the FK three-point connectivity has a prefactor which unveils the effects of a discrete symmetry, reminiscent of the S_Q permutation symmetry of the Q=2,3,4 Potts model. Their theoretical prediction has been checked for the case of percolation, corresponding to Q=1. We revisit the derivation of the time-like Liouville correlator given by Al. Zamolodchikov and show that this is the the only consistent analytic continuation of the minimal model structure constants. We then present strong numerical tests of the relation between the time-like Liouville correlator and percolative properties of the FK clusters for real values of Q.
Forward citations
Cited by 2 Pith papers
-
Logarithmic operators in $c=0$ bulk CFTs
The bulk energy four-point function in percolation and self-avoiding walk CFTs is non-zero at c=0, driven by coupling to a rank-3 Jordan block associated with the second energy operator.
-
Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$
Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.
Discussion (0). Continue with ORCID to comment.