Fermion Zero Modes in the Presence of Fluxes and a Non-perturbative Superpotential

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, revised version contains a new appendix on dimensional reduction of spinors and some changes in the spinor equations

Scientific paper

10.1088/1126-6708/2006/08/071

We study the effect of background fluxes of general Hodge type on the supersymmetry conditions and on the fermionic zero modes on the world-volume of a Euclidean M5/D3-brane in M-theory/type IIB string theory. Using the naive susy variation of the modulino fields to determine the number of zero modes in the presence of a flux of general Hodge type, an inconsistency appears. This inconsistency is resolved by a modification of the supersymmetry variation of the modulinos, which captures the back-reaction of the non-perturbative effects on the background flux and the geometry.

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