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We derive an explicit form of the quadratic in fermions Dirac action on theM5 brane for an arbitrary on-shell background of 11D supergravity withnon-vanishing fluxes and in presence of a chiral 2-form on M5. This action maybe used to generalize the conditions for which the non-perturbativesuperpotential can be generated in M/string theory. We also derive the Diracaction with bulk fluxes on the M2 brane.Comment: 12 pages References adde

Dirac action on M5 and M2 branes with bulk fluxes