  If massless leptonic photons associated to electron, muon or tau leptonic
number exist they would have been emitted from supernova 1987a via the
annihilation process $\nu\bar{\nu}\to\gamma_{l}\gamma_{l}$. By requiring that
this process does not carry away most of the energy that can be radiated by the
supernova we obtain an upper limit on the leptonic photon coupling constants,
$\alpha_{l} < 5.4 \times 10^{-11}$. Under certain assumptions about
$\gamma_{l}$ - trapping conditions we find that the region of $\alpha_{l} =
10^{-8} - 10^{-7}$ might be of interest for an experimental search for leptonic
photons.
