The low-energy N=4 SYM effective action in diverse harmonic superspaces

Abstract

We review various superspace approaches to the description of the low-energy effective action in N=4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F^4/X^4 and the scalar field Wess-Zumino terms. We construct N=4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N=2,3,4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N=4 supersymmetry and/or superconformal PSU(2,2|4) symmetry.

102 pages, v2: references added

References in corpus (13)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories
• One-loop divergences in 6D, N=(1,0) SYM theory
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• One-loop divergences in the 6D, N=(1,0) abelian gauge theory
• Biharmonic Superspace for N=4 Mechanics
• Wess-Zumino term in the N=4 SYM effective action revisited
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background
• N=3 Superparticle Model

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• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Superfield realization of hidden $R$-symmetry in extended supersymmetric gauge theories and its applications
• New bi-harmonic superspace formulation of $4D,\mathcal{N}=4$ SYM theory
• Simplifying 4d $\mathcal{N}=3$ Harmonic Superspace
• From $\mathcal{N}=4$ Galilean superparticle to three-dimensional non-relativistic $\mathcal{N}=4$ superfields