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We analyze the influence of neutrino helicity conversion, $\nu_L \to \nu_R$,on the neutrino flux from a supernova caused by the interaction of the Diracneutrino magnetic moment with a magnetic field. We show that if the neutrinohas a magnetic moment in the interval $10^{-13} \, \mu_{\rm B} < \mu_\nu <10^{-12} \, \mu_{\rm B}$ and provided that a magnetic field of $\sim 10^{13} -10^{14}$ G exists in the supernova envelope, a peculiar kind of time evolutionof the neutrino signal from the supernova caused by the resonance transition$\nu_L \to \nu_R$ in the magnetic field of the envelope can appear. If amagnetar with a poloidal magnetic field is formed in a supernova explosion,then the neutrino signal could have a pulsating behavior, i.e., a kind of aneutrino pulsar could be observed, when it rotates around an axis that does notcoincide with its magnetic moment and when the orientation of its rotation axisis favourable for our observation.

Dirac neutrino magnetic moment and a possible time evolution of the neutrino signal from a supernova