Complete N=4 Structure of Low-Energy Effective Action in N=4 Super Yang-Mills Theories

Abstract

Using the $\mathcal{N}=2$ superfield approach, we construct full $\mathcal{N}=4$ supersymmetric low-energy effective actions for $\mathcal{N}=4$ SYM models, with both $\mathcal{N}=2$ gauge superfield strengths and hypermultiplet superfields included. The basic idea is to complete the known non-holomorphic effective potentials which depend only on $\mathcal{N}=2$ superfield strengths $W$ and $\bar{W}$ to the full on-shell $\mathcal{N}=4$ invariants by adding the appropriate superfield hypermultiplet terms. We prove that the effective potentials of the form $lnWln\bar{W}$ can be $\mathcal{N}=4$ completed in this way and present the precise structure of the corresponding completions. However, the effective potentials of the non-logarithmic form suggested in hep-th/9811017 and hep-th/9909020 do not admit the $\mathcal{N}=4$ completion. Therefore, such potentials cannot come out as (perturbative or non-perturbative) quantum corrections in $\mathcal{N}=4$ SYM models.

14 pages, Latex, no figures, slight corrections, refs added

References in corpus (3)

• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• Effective action of N = 4 super Yang-Mills: N = 2 superspace approach
• Hypermultiplet effective action: N = 2 superspace approach

Cited by in corpus (35)

• ABJM models in N=3 harmonic superspace
• Little String Theory and Heterotic/Type II Duality
• The Conformal Anomaly of M5-Branes
• Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation
• Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Higher-Derivative Terms in N=2 Supersymmetric Effective Actions
• One-loop effective action for $\mathcal{N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond
• Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace
• Wess-Zumino term in the N=4 SYM effective action revisited
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Relaxed super self-duality and N = 4 SYM at two loops
• Superconformal N=3 SYM Low-Energy Effective Action
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Ultraviolet divergences in non-renormalizable supersymmetric 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
• Scale Invariant Low-Energy Effective Action in N=3 SYM Theory
• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• Field Strengths of Linearized 5D, N = 1 Superfield Supergravity On a 3-Brane
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• N=3 Superparticle Model
• Gauge theory in deformed N=(1,1) superspace
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• On Superspace Chern-Simons-like Terms
• New bi-harmonic superspace formulation of $4D,\mathcal{N}=4$ SYM theory
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Superfield realization of hidden $R$-symmetry in extended supersymmetric gauge theories and its applications
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions
• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory