Effective action of N = 4 super Yang-Mills: N = 2 superspace approach

Abstract

Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a straightforward evaluation of low-energy quantum corrections in the framework of an N = 2 superfield heat kernel technique. We illustrate our approach by computing the low-energy effective action on the Coulomb branch of SU(2) N = 4 super Yang-Mills. Our work provides the first derivation of the low-energy action of N = 4 super Yang-Mills theory directly in N = 2 superspace without any reduction to N = 1 superfields and for a generic background N = 2 Yang-Mills multiplet.

12 pages, latex, no figures, references added

Cited by in corpus (35)

• Conformal supergravity in five dimensions: New approach and applications
• Complete N=4 Structure of Low-Energy Effective Action in N=4 Super Yang-Mills Theories
• Low-energy dynamics in N = 2 super QED: Two-loop approximation
• One-loop divergences in 6D, N=(1,0) SYM theory
• Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation
• Hypermultiplet effective action: N = 2 superspace approach
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Deriving Projective Hyperspace from Harmonic
• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• Self-dual effective action of N = 4 SYM revisited
• Higher-Derivative Terms in N=2 Supersymmetric Effective Actions
• One-loop divergences in the 6D, N=(1,0) abelian gauge theory
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• 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
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Quantum metamorphosis of conformal symmetry in N = 4 super Yang-Mills theory
• Exact propagators in harmonic superspace
• On supersymmetric Chern-Simons-type theories in five dimensions
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach
• Relaxed super self-duality and effective action
• Scale Invariant Low-Energy Effective Action in N=3 SYM Theory
• Chiral anomalies in six dimensions from harmonic superspace
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Improved Methods for Hypergraphs
• Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• Higher order contributions to the effective action of N=2 super Yang-Mills
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory
• On a structure of the one-loop divergences in $4D,\mathcal{N}=2$ supersymmetric sigma-model