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Abstract
We review various superspace approaches to the description of the lowenergy effective action in N = 4 super Yang–Mills (SYM) theory. We consider the fourderivative part of the lowenergy 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) Rsymmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the nonanomalous 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.
Original language  English 

Pages (fromto)  333388 
Number of pages  56 
Journal  Physics of Particles and Nuclei 
Volume  48 
Issue number  3 
DOIs  
Publication status  Published  1 May 2017 
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Projects
 1 Finished

Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity
Kuzenko, S., Buchbinder, E., TartaglinoMazzucchelli, G., Theisen, S. & Tseytlin, A.
1/01/14 → 30/06/17
Project: Research