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Dirac Action on M5 and M2 Branes with Bulk Fluxes

Renata Kallosh, Dmitri Sorokin

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.

Dirac Action on M5 and M2 Branes with Bulk Fluxes

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.

Paper Structure

This paper contains 6 sections, 48 equations.

Table of Contents

  1. Introduction
  2. Green-Schwarz type fermionic equations of the M5 brane
  3. Dirac equation on M5 surface
  4. Dirac action and examples of flux transforming under $U(1)$ symmetry
  5. The Dirac equation and action on the M2 brane in the presence of $D=11$ fluxes
  6. Conclusion