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.

29 pages, 5 figures, latex file; added references

References in corpus (3)

• Open String Creation by S-Branes
• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
• Series and epsilon-expansion of the hypergeometric functions

Cited by in corpus (8)

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• On effective actions of BPS branes and their higher derivative corrections
• On higher derivative corrections of tachyon action
• On effective actions of non-BPS branes and their higher derivative corrections
• On the effective action of D-brane-anti-D-brane system