  We identify a non Fermi Liquid (NFL) class of fixed points describing the
infrared behaviour of interacting chiral fermions in one dimension. The
thermodynamic properties and asymptotic correlation functions are characterized
by universal exponents, which we determine by means of conformal and
Bethe-Ansatz techniques. The mechanism leading to the breakdown of Fermi-Liquid
theory is quite general and can be expected to be realized in systems with
broken T-invariance. As an example we study the edge states of interacting QHE
systems. We calculate the universal frequency dependence of the spin
conductance in these systems as well as the NMR response.
