BPS States of the Non-Abelian Born-Infeld Action

Details BPS States of the Non-Abelian Born-Infeld Action BPS States of the Non-Abelian Born-Infeld Action

1998-04-28

arxiv.org/abs/hep-th/9804180v2

Phys.Lett. B442 (1998) 117-124

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX. Much condensed version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)01277-5

We argue that the trace structure of the non-abelian Born-Infeld action can be fixed by demanding that the action be linearised by certain energy-minimising BPS-like configurations. It is shown how instantons in D4-branes, SU(2) monopoles and dyons in D3-branes, and vortices in D2-branes are all BPS states of the action recently proposed by Tseytlin. The T-dual worldvolume theories of D-strings and D0-branes are also considered. All such configurations can be dealt with exactly within the context of non-abelian Born-Infeld theory since, given the relevant BPS-like condition, the action reduces to that of Yang-Mills theory. The worldvolume energy of such configurations is an absolute minimum. It would seem, moreover, that such an analysis holds for the symmetrised trace structure of Tseytlin's proposal only.

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