Observations suggest that γ-ray bursts (GRBs) are produced by the
dissipation of the kinetic energy of a relativistic fireball. We show that a
large fraction, ≥10, of the fireball energy is expected to be converted
by photo-meson production to a burst of ∼1014eV neutrinos. A km^2
neutrino detector would observe at least several tens of events per year
correlated with GRBs, and test for neutrino properties (e.g. flavor
oscillations, for which upward moving τ's would be a unique signature, and
coupling to gravity) with an accuracy many orders of magnitude better than is
currently possible.Comment: Submitted to PRL (4 pages, LaTeX