Spinorial cohomology of abelian d=10 super-Yang-Mills at alpha'^3

Abstract

We compute the spinorial cohomology of ten-dimensional abelian SYM at order alpha'^3 and we find that it is trivial. Consequently, linear supersymmetry alone excludes the presence of alpha'^3-order corrections. Our result lends support to the conjecture that there may be a unique supersymmetric deformation of ordinary ten-dimensional abelian SYM.

13 pages, 1 figure, harvmac

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• The cohomology of superspace, pure spinors and invariant integrals
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