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

Dieter Lust·Susanne Reffert·Waldemar Schulgin·Prasanta Tripathy
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Abstract

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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Dieter Lust, Susanne Reffert, Waldemar Schulgin, Prasanta Tripathy. 2006-03-17. Fermion Zero Modes in the Presence of Fluxes and a Non-perturbative Superpotential. https://doi.org/10.1088/1126-6708%2F2006%2F08%2F071

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