We suggest a procedure for calculating correlation functions of the local
densities of states (DOS) at the plateau transitions in the Integer Quantum
Hall effect (IQHE). We argue that their correlation functions are appropriately
described in terms of the SL(2,C)/SU(2) WZNW model (at the usual Ka{\v
c}--Moody point and with the level 6≤k≤8). In this model we have
identified the operators corresponding to the local DOS, and derived the
partial differential equation determining their correlation functions. The OPEs
for powers of the local DOS obtained from this equation are in agreement with
available results.Comment: typos corrected, a revised versio