An index for the Dirac operator on D3 branes with background fluxes
High Energy Physics - Theory
2010-12-03 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0507069,
title = {An index for the Dirac operator on D3 branes with background fluxes},
author = {Eric Bergshoeff and Renata Kallosh and Amir-Kian Kashani-Poor and Dmitri Sorokin and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:hep-th/0507069},
year = {2010}
}
Comments
Fermion coupling to five-form restored, conclusions of the paper unchanged