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

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.

arXiv comment12 pages

References in corpus (19)

• Bound States Of Strings And $p$-Branes
• On non-abelian generalisation of Born-Infeld action in string theory
• Branes Intersecting at Angles
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• Fluctuation Spectra of Tilted and Intersecting D-branes from the Born-Infeld Action
• D-brane actions
• The open superstring 5-point amplitude revisited
• Supersymmetric non-abelian Born-Infeld revisited
• The non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^4$
• The non-abelian open superstring effective action through order ${\alpha }^{\prime }{}^3$
• Higher order contributions to the effective action of N=4 super Yang-Mills
• On Duality in the Born-Infeld Theory
• The Uniqueness of the Abelian Born-Infeld Action
• Testing the ${\alpha }^{\prime }{}^3$ term in the non-abelian open superstring effective action
• Stable Solutions of the Double Compactified D=11 Supermembrane Dual
• Uniqueness of Bogomol'nyi equations and Born-Infeld like supersymmetric theories
• General covariance of the non-abelian DBI-action: Checks and Balances
• Fluctuation Analysis of the Non-abelian Born-Infeld Action in Background Intersecting D-branes
• On decoupled theories in (5+1) dimensions from (F,D1,NS5,D5) supergravity configuration

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