Anomaly for Majorana fermion?
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The 1/21/2 difference in the perturbative gravitational anomaly is true in 1+11+1 dimensions. The mathematical reason is probably that Grassmann integral for Majorana fermions gives a Pfaffian while for Dirac fermions you get a Determinant, and Det=Pf2Det=Pf2. Basically Majorana fermions have "half" degrees of freedom compared to Dirac fermions
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Abstract. Majorana fermion is a hypothetical particle that is its own antiparticle. We report transport measurements that suggest the existence of one-dimensional chiral Majorana fermion modes in the hybrid system of a quantum anomalous Hall insulator thin film coupled with a superconductor.
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