Title: From SLE to the operator content of percolation

Abstract: The continuum limit of critical percolation in two 
dimensions is described by Schramm-Loewner evolutions (SLE) with 
parameter kappa=6. This note uses the Virasoro module of SLE local 
martingales to address the question of operator content in the conformal 
field theory (CFT) of percolation. The structure observed agrees with 
results of direct CFT approaches in the sense that the space of local 
martingales contains the contravariant module of the fusion product of 
boundary changing operators. The important conclusion that CFT for 
percolation must contain logarithmic operators is verified and given a 
transparent probabilistic interpretation.