1998/04/30 by D. Brecher · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th
paper · pdf · doi:10.1016/s0370-2693(98)01277-5
published as Phys.Lett. B442 (1998) 117-124 · 11 pages, LaTeX. Much condensed version to appear in Phys. Lett. B
arxiv created 1998/10/02 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.