Actions and fermionic symmetries for D-branes in bosonic backgrounds

In this article we derive the full interacting effective actions forsupersymmetric D-branes in arbitrary bosonic type II supergravity backgrounds.The actions are presented in terms of component fields up to second order infermions. As one expects, the actions are built from the supercovariantderivative operator and the $\kappa$-symmetry projector. The results take acompact and elegant form exhibiting $\kappa$-symmetry, as well as supersymmetryin a background with Killing spinors. We give the explicit transformation rulesfor these symmetries in all cases, including the M2-brane. As an example, weanalyze the N=2 super-worldvolume field theory defined by a test D4-brane inthe supergravity background produced by a large number of D0-branes. Thisexample displays rigid supersymmetry in a curved spacetime.Comment: 33 pages, typos correcte