Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory

Details Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory

2006-06-07

arxiv.org/abs/hep-th/0606063v2

Class.Quant.Grav.23:7471-7478,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1088/0264-9381/23/24/017

In this paper we extend the bosonic $D$-brane action in D=10 obtained by duality from the D=11 membrane wrapped on $S^1$ to an SU(2) non abelian system. This system presents only first class constraints, whose algebra closes off-shell and generalizes the algebra of diffeomorphisms of the $D2$-brane to include non abelian symmetry generators. From the SU(2) $D$-brane action, we also obtain the SU(2) Born-Infeld theory by performing a covariant reduction to a flat background. This calculation agrees up to fourth order with the result obtained from the superstring amplitudes and gives an alternative approach to analyze non-abelian Born-Infeld theories.

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