D1 AND D5-BRANE ACTIONS IN AdSm×Sn

Abstract

The κ-invariant and supersymmetric actions of D1 and D5-branes in AdS3×S3 are investigated, as well as the action of a D5-brane in an AdS5×S5 background. The action of a D5-brane lying totally in an AdS3×S3 background is found. Some progress was made towards finding the action for the D5-brane free to move in the whole AdS3×S3×T4 space, however the supersymmetric action found here is not κ-invariant and the reasons the method used did not find a κ-invariant solution are discussed.