An index for the Dirac operator on D3 branes with background fluxes
arXiv:hep-th/0507069 · doi:10.1088/1126-6708/2005/10/102
Abstract
We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.
Fermion coupling to five-form restored, conclusions of the paper unchanged
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