7-Branes and Higher Kaluza-Klein Branes

TL;DR

This paper introduces a new series of higher-dimensional brane solutions related by T duality, extending known branes with specific isometric and compactified dimensions, and explores their properties and duality relations.

Contribution

It presents a novel chain of 10D and 11D brane solutions predicted by U duality, detailing their structure, dualities, and supersymmetry properties.

Findings

New chain of brane solutions with specific isometries.

Masses depend on the square of radii of isometric directions.

Solutions preserve half of the supersymmetry.

Abstract

We present and study a new chain of 10-d T duality related solutions and their 11-d parents whose existence had been predicted in the literature based in U duality requirements in 4 d. The first link 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 depends only on 2 transverse dimensions since the 3rd and 4th have to be compactified in circles and are isometric and so on. All these solutions are identical when reduced over the p spatial worldvolume dimensions and preserve a 1/2 on the supersymmetries. Their masses depend on the square of the radii of the isometric directions, just as 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.