  Motivated by the spin-triplet superconductor Sr2RuO4, the thermal Hall
conductivity is investigated for several pairing symmetries with broken
time-reversal symmetry. In the chiral p-wave phase with a fully opened
quasiparticle excitation gap, the temperature dependence of the thermal Hall
conductivity has a temperature linear term associated with the topological
property directly, and an exponential term, which shows a drastic change around
the Lifshitz transition. Examining f-wave states as alternative candidates with
$\bm d=\Delta_0\hat{z}(k_x^2-k_y^2)(k_x\pm ik_y)$ and $\bm
d=\Delta_0\hat{z}k_xk_y(k_x\pm ik_y)$ with gapless quasiparticle excitations,
we study the temperature dependence of the thermal Hall conductivity, where for
the former state the thermal Hall conductivity has a quadratic dependence on
temperature, originating from the linear dispersions, in addition to linear and
exponential behavior. The obtained result may enable us to distinguish between
the chiral p-wave and f-wave states in Sr2RuO4.
