Termination of multifractal behavior for critical disordered Dirac fermions

We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or supersymmetry approaches. It is shown that the proper treatment of. the conformal theory leads to a different multifractal scaling behavior than initially expected. Moreover, the previous replica solution is found to be incorrect at the level of higher correlation functions.