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The Supersymmetric Effective Action of the Heterotic String in Ten Dimensions

M. de Roo·H. Suelmann·A. Wiedemann
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Abstract

We construct the supersymmetric completion of quartic $R+R^4$-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are obtained. One of these invariants can be generalized to an $R+F^2+F^4$-invariant for supersymmetric Yang-Mills theory coupled to supergravity. Supersymmetry requires the presence of $B\wedge R\wedge R\wedge R\wedge R$-terms, ($B\wedge F\wedge F\wedge F\wedge F$ for Yang-Mills) which correspond to counterterms in the Green-Schwarz anomaly cancellation. Within the context of our calculation the $ζ(3)R^4$-term from the tree-level string effective action does not allow supersymmetrization.

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M. de Roo, H. Suelmann, A. Wiedemann. 1992-10-19. The Supersymmetric Effective Action of the Heterotic String in Ten Dimensions. https://doi.org/10.1016/0550-3213(93)90550-9

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