The explicit form of the effective action for F1 and D-branes

TL;DR

This paper derives explicit, component-field effective actions for F1 strings and D-branes in supergravity backgrounds, highlighting their supersymmetry and kappa-symmetry properties up to second-order fermions.

Contribution

It provides the explicit form of the effective actions for F1 and D-branes, including symmetry transformations, in arbitrary supergravity backgrounds, up to second-order fermionic terms.

Findings

Explicit effective actions with kappa-symmetry and supersymmetry

Transformation rules for symmetries in all cases

Results valid in arbitrary bosonic backgrounds

Abstract

In this work we consider the full interacting effective actions for fundamental strings and D-branes in arbitrary bosonic type II supergravity backgrounds. The explicit form of these actions is given in terms of component fields, up to second order in the fermions. The results take a compact form exhibiting $\kappa$-symmetry, as well as supersymmetry in a background with Killing spinors. Also we give the explicit transformation rules for these symmetries in all cases.