BPS Bounds for Worldvolume Branes

TL;DR

This paper demonstrates that various p-brane soliton solutions in M-branes and D-branes saturate BPS bounds on their tensions, linking them to central charges in the supertranslation algebra.

Contribution

It establishes BPS bounds for worldvolume branes and connects soliton solutions to algebraic central charges, expanding understanding of brane dynamics.

Findings

Solitons saturate BPS bounds on p-volume tensions.

Central charges relate to soliton solutions in supertranslation algebra.

Includes analysis of vortices, BIons, instantons, and dyons.

Abstract

The worldvolume field equations of M-branes and D-branes are known to admit p-brane soliton solutions. These solitons are shown to saturate a BPS-type bound on their p-volume tensions, which are expressed in terms of central charges that are expected to appear in the worldvolume supertranslation algebra. The cases we consider include vortices, `BIons', instantons and dyons (both abelian and non-abelian), and the string boundaries of M-2-branes in the M-5-brane.