LogCFTs at generic central $c$ and the critical $Q$-state Potts model.
Mon, Apr. 26th 2021, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We discuss the construction of logarithmic representation of Virasoro algebra at generic central charge by using derivative of fields with respect to their conformal dimensions. The resulting representations come with a free parameter $\kappa$ which can be fixed based on the existence of degenerate fields. As an application, we describe the logarithmic structure in the critical $Q$-state Potts model at generic central charge. We validate our description by numerically bootstrapping the four-point connectivities in the Potts model. Our results hold for generic values of $Q$ on the complex plane.