Abstract

We construct a supersymmetric extension of the Lorentz and Yang-Mills Chern-Simons terms in ten dimensions. In terms of dimensionful parameters α(Lorentz) and β (Yang-Mills), we obtain the complete O( α) supersymmetrization. Furthermore, we present the leading O( α 2) and O( αβ) corrections required by supersymmetry, and conjecture that the result is complete to this order. Finally, we briefly discuss the O( α 3) and O( αβ 2) modifications. A crucial ingredient in these constructions is the existence of an intimate relationship between the ten-dimensional supergravity and Yang-Mills multiplets.

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