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arXiv · 1106.0611

Bi-harmonic superspace for N=4 d=4 super Yang-Mills

Dmitry V. Belyaev·Igor B. Samsonov
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Abstract

We develop N=4 d=4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N=4 super Yang-Mills theory. We solve the N=4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N=4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N=4 SYM effective action; in particular, the F^4/X^4 and Wess-Zumino terms. The latter comes out in a novel SO(3) x SO(3)-invariant form.

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Dmitry V. Belyaev, Igor B. Samsonov. 2011-06-10. Bi-harmonic superspace for N=4 d=4 super Yang-Mills. https://doi.org/10.1007/jhep09(2011)056

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