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

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.

1+19 pages; minor corrections, references added

References in corpus (6)

• Biharmonic Superspace for N=4 Mechanics
• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• 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
• Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach

Cited by in corpus (7)

• The Conformal Anomaly of M5-Branes
• Superconformal N=3 SYM Low-Energy Effective Action
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• New bi-harmonic superspace formulation of $4D,\mathcal{N}=4$ SYM theory
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions