Dirac Action on M5 and M2 Branes with Bulk Fluxes

TL;DR

This paper derives explicit fermionic actions for M5 and M2 branes in 11D supergravity backgrounds with fluxes, enabling better understanding of non-perturbative effects in M/string theory.

Contribution

It provides the first explicit form of the quadratic fermionic Dirac actions for M5 and M2 branes with bulk fluxes in arbitrary on-shell backgrounds.

Findings

Explicit Dirac action for M5 brane with fluxes

Explicit Dirac action for M2 brane with fluxes

Potential applications to non-perturbative superpotential conditions

Abstract

We derive an explicit form of the quadratic in fermions Dirac action on the M5 brane for an arbitrary on-shell background of 11D supergravity with non-vanishing fluxes and in presence of a chiral 2-form on M5. This action may be used to generalize the conditions for which the non-perturbative superpotential can be generated in M/string theory. We also derive the Dirac action with bulk fluxes on the M2 brane.