$(α')^4$ corrections to the N=2 supersymmetric Born-Infeld action

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex, 12 pages, 2 figures. Some mistakes corrected

Scientific paper

10.1016/S0370-2693(99)01319-2

We consider the N=2 supersymmetric Born-Infeld action and compute one-loop divergences quantizing the theory in N=1 superspace. We find that in the presence of non constant curvature the theory is not renormalizable. The structure of the $(\alpha')^4$ counterterm, proportional to derivatives of the curvature, is consistent with effective action calculations from superstring theory.

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