Emissivity of neutrinos in supernova in a left-right symmetric model

We calculate the emissivity due to neutrino-pair production in $e^+e^-$ annihilation in the context of a left-right symmetric model in a way that can be used in supernova calculations. We also present some simple estimates which show that such process can act as an efficient energy-loss mechanism in the shocked supernova core. We find that the emissivity is dependent of the mixing angle $\phi$ of the model in the allowed range for this parameter.