  Recently, in an attempt to study disordered criticality in Quantum Hall
systems and $d$-wave superconductivity, it was found that two dimensional
random Dirac fermion systems contain a line of critical points which is
connected to the pure system. We use bosonization and current algebra to study
properties of the critical line and calculate the exact scaling dimensions of
all local operators. We find that the critical line contains an infinite number
of relevant operators with negative scaling dimensions.
