Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action

Abstract

We apply the prescription proposed in hep-th/0307197 for non-abelian expansion of S-matrix elements, to the S-matrix element of four tachyons and one gauge field in superstring theory. We show that the leading order terms of the expansion are in perfect agreement with the non-abelian generalization of the tachyon DBI action in which the tachyon potential is $V(T)=1+\pi {\alpha }^{\prime }{m}^2{T}^2+\frac{1}{2!}(\pi {\alpha }^{\prime }{m}^2{T}^2{)}^2+...$ where $m^2=-1/(2{\alpha }^{\prime })$ is the mass of tachyon. This calculation fixes the coefficient of $T^4$ in the potential without on-shell ambiguity.

arXiv comment29 pages, 5 figures, latex file; added references

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• On effective actions of BPS branes and their higher derivative corrections
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• Higher derivative corrections to Wess-Zumino action of Brane-Antibrane systems
• On effective actions of non-BPS branes and their higher derivative corrections
• On modified tachyon DBI action
• A proposal for M2-brane-anti-M2-brane action
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