  Motivated by Sr2RuO4, we consider a chiral superconductor where the gap is
strongly suppressed along certain momentum directions. We evaluate the thermal
Hall conductivity in the gapless regime, i.e., at temperature small compared
with the impurity band width \gamma, taking the simplest model of isotropic
impurity scattering. We find that, under favorable circumstances, this thermal
Hall conductivity can be quite significant, and is smaller than the diagonal
component (the universal thermal conductivity) only by a factor of 1/ ln(2
\Delta_M/\gamma), where \Delta_M is the maximum gap.
