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D3 brane action and fermion zero modes in presence of background flux

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Published 28 June 2005 Published under licence by IOP Publishing Ltd
, , Citation Prasanta K. Tripathy and Sandip P. Trivedi JHEP06(2005)066 DOI 10.1088/1126-6708/2005/06/066

1126-6708/2005/06/066

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 T6/Z2, twelve of the sixteen zero modes originally present are lifted by the flux.

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10.1088/1126-6708/2005/06/066