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Requiring the existence of certain BPS solutions to the equations of motion,we determine the bosonic part of the non-abelian D-brane effective actionthrough order $\alpha'{}^4$. We also propose an economic organizationalprinciple for the effective action.Comment: 12 pages, 2 figures, JHEP styl

The non-abelian D-brane effective action through order α′4

The non-abelian D-brane effective action through order α′⁴