D3-brane action in a supergravity background: the fermionic story

Details D3-brane action in a supergravity background: the fermionic story D3-brane action in a supergravity background: the fermionic story

2002-02-18

arxiv.org/abs/hep-th/0202118v4

Phys.Rev. D66 (2002) 045014

Physics

High Energy Physics

High Energy Physics - Theory

23 pages. Minor corrections, references added

Scientific paper

10.1103/PhysRevD.66.045014

Using the kappa-symmetric action for a D3-brane, we study the interaction between its world-volume fermions and a bosonic type IIB supergravity background preserving 4-dimensional Lorentz invariance. We find that the renormalizable terms in the action include only coupling between the fermions and the 3-form flux in the combination *G_3-iG_3, which is zero for a class of supersymmetric and nonsupersymmetric solutions. We also find the magnetic and electric dipole moments for the fermions, which are proportional to the derivative of the dilaton-axion. We show that different gauges to fix the kappa-symmetry give the same interaction terms, and prove that these terms are also SL(2,R) self-dual. We interpret our results in terms of N=1 supersymmetric gauge theory on the D-brane.

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