Bound States of D-Branes and the Non-Abelian Born-Infeld Action

Abstract

We attempt to settle the issue as to what is the correct non-abelian generalisation of the Born-Infeld action, via a consideration of the two-loop $\beta$--function for the non-abelian background gauge field in open string theory. An analysis of the bosonic theory alone shows the recent proposal of Tseytlin's to be somewhat lacking. For the superstring, however, this proposal would seem to be correct, and not just within the approximation used in \cite{tseytlin}. Since it is this latter case that is relevant to the description of D-branes we, in effect, obtain an independent verification of Tseytlin's result. Some issues involved in the concept of non-abelian T--duality are discussed; and it is shown how the interaction between separated and parallel branes, in the form of massive string states, emerges.

24 pages, 4 eps figures, LaTeX. Further comments concerning earlier work added, minor typos corrected. Version to be published in Nucl. Phys. B

References in corpus (4)

• Born-Infeld particles and Dirichlet p-branes
• The Shape of Branes Pulled by Strings
• Non-Abelian gauge field dynamics on matrix D-branes in curved space and two-dimensional $\sigma$-models
• Wormholes on The World Volume

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