N=4 Super Yang-Mills Low-Energy Effective Action at Three and Four Loops

Abstract

We investigate the low-energy effective action in N=4 super Yang-Mills theory with gauge group SU(n) spontaneously broken down to its maximal torus. Using harmonic superspace technique we prove an absence of any three- and four-loop corrections to non-holomorphic effective potential depending on N=2 superfield strengths. A mechanism responsible for vanishing arbitrary loop corrections to low-energy effective action is discussed.

LaTeX, 12 pages; minor corrections

References in corpus (2)

• On Low-Energy Effective Actions in N = 2, 4 Superconformal Theories in Four Dimensions
• On Holomorphic Effective Actions of Hypermultiplets Coupled to External Gauge Superfields

Cited by in corpus (11)

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• Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation
• Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter
• Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach
• Improved Methods for Hypergraphs
• Perturbative finiteness of the three-dimensional Susy QED to all orders
• Noncommutative supersymmetric Chern-Simons-matter model