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

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

2005-03-08

arxiv.org/abs/hep-th/0503072v4

JHEP0506:066,2005

Physics

High Energy Physics

High Energy Physics - Theory

Important factor of ``i'' was overlooked in Euclidean continuation of WZ term. This changes the count of zero-modes in the T^6

Scientific paper

10.1088/1126-6708/2005/06/066

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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