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arXiv · hep-th/0606063

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

R. Gianvittorio·A. Restuccia·J. Stephany
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Abstract

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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R. Gianvittorio, A. Restuccia, J. Stephany. 2006-09-28. Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory. https://doi.org/10.1088/0264-9381%2F23%2F24%2F017

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