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arXiv · hep-th/0503072

D3 Brane Action and Fermion Zero Modes in Presence of Background Flux

Prasanta K. Tripathy·Sandip P. Trivedi
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Abstract

We derive the fermion bilinear terms in the world volume action for a D3 brane in the presence of background flux. In six-dimensional compactifications non-perturbative corrections to the superpotential can arise from an Euclidean D3-brane instanton wrapping a divisor in the internal space. The bilinear terms give rise to fermion masses and are important in determining these corrections. We find that the three-form flux generically breaks a U(1) subgroup of the structure group of the normal bundle of the divisor. In an example of compactification on T^6/Z_2, six of the sixteen zero modes originally present are lifted by the flux.

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Prasanta K. Tripathy, Sandip P. Trivedi. 2005-07-06. D3 Brane Action and Fermion Zero Modes in Presence of Background Flux. https://doi.org/10.1088/1126-6708%2F2005%2F06%2F066

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