Superconformal N=3 SYM Low-Energy Effective Action

Abstract

We construct a manifestly N=3 supersymmetric low-energy effective action of N=3 super Yang-Mills theory. The effective action is written in the N=3 harmonic superspace and respects the full N=3 superconformal symmetry. On mass shell this action is responsible for the four-derivative terms in the N=4 SYM effective action, such as F^4/X^4 and its supersymmetric completions, while off shell it involves also higher-derivative terms. For constant Maxwell and scalar fields its bosonic part coincides, up to the F^6/X^8 order, with the bosonic part of the D3 brane action in the AdS_5 x S^5 background. We also argue that in the sector of scalar fields it involves the correctly normalized Wess-Zumino term with the implicit SU(3) symmetry.

1+29 pages; v2: minor corrections, JHEP style

References in corpus (5)

• Wess-Zumino term in the N=4 SYM effective action revisited
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace
• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• N=3 Superparticle Model

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• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace
• Simplifying 4d $\mathcal{N}=3$ Harmonic Superspace
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions