SL(2,R)-invariant IIB Brane Actions

TL;DR

This paper derives a universal SL(2,R)-invariant formulation for all IIB brane actions with specific p-values, ensuring gauge invariance and a single Born-Infeld vector, revealing existence constraints for certain branes.

Contribution

It provides a unified SL(2,R)-invariant expression for IIB brane actions and clarifies conditions under which certain branes, like D7 and D9, can exist within this framework.

Findings

Universal SL(2,R)-invariant brane actions derived.

Existence of D7 and D9 branes constrained by orbit conditions.

Other brane actions discussed in context of symmetry orbits.

Abstract

We give a universal SL(2,R)-invariant expression for all IIB p-brane actions with p=-1,1,3,5,7,9. The Wess-Zumino terms in the brane actions are determined by requiring (i) target space gauge invariance and (ii) the presence of a single Born-Infeld vector. We find that for p=7 (p=9) brane actions with these properties only exist for orbits that contain the standard D7-brane (D9-brane). We comment about the actions for the other orbits.