7-Branes and Higher Kaluza-Klein Branes

Abstract

We present and study a new chain of 10-dimensional T duality related solutions and their 11-dimensional parents whose existence had been predicted in the literature based in U duality requirements in 4 dimensions. The first link in this chain is the S dual of the D7-brane. The next link has 6 spatial worldvolume dimensions, it is charged w.r.t. the RR 7-form but depends only on 2 transverse dimensions since the third has to be compactified in a circle and is isometric and hence is similar in this respect to the KK monopole. The next link has 5 spatial worldvolume dimensions, it is charged w.r.t. the RR 6-form but, again, depends only on 2 transverse dimensions since the third and fourth have to be compactified in circles and are isometric and so on for the following links.

All these solutions are identical when reduced over the p spatial worldvolume dimensions and preserve a half on the available supersymmetries. Their masses depend on the square of the radii of the isometric directions, just as it happens for the KK monopole. We give a general map of these branes and their duality relations and show how they must appear in the supersymmetry algebra.