Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation

Abstract

For $6D$, $\mathcal{N}=(1,1)$ SYM theory formulated in $\mathcal{N}=(1,0)$ harmonic superspace as a theory of interacting gauge multiplet and hypermultiplet we construct the $\mathcal{N}=(1,1)$ supersymmetric Heisenberg-Euler-type superfield effective action. The effective action is computed for the slowly varying on-shell background fields and involves, in the bosonic sector, all powers of a constant abelian strength.

arXiv comment1+17 pages; v2: minor corrections, references added

References in corpus (29)

• Brane Dynamics and Gauge Theory
• A brief review of "little string theories"
• The Heisenberg-Euler Effective Action: 75 years on
• Supersymmetry counterterms revisited
• The Background Field Method for N = 2 Super Yang-Mills Theories in Harmonic Superspace
• Renormalizable supersymmetric gauge theory in six dimensions
• The ultra-violet question in maximally supersymmetric field theories
• Multiple Membranes in M-theory
• Comments on the Background Field Method in Harmonic Superspace: Non-holomorphic Corrections in N=4 SYM
• Non-holomorphic effective potential in N = 4 SU(n) SYM
• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• A note on the UV behaviour of maximally supersymmetric Yang-Mills theories
• Conformal properties of hypermultiplet actions in six dimensions
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• Low-energy dynamics in N = 2 super QED: Two-loop approximation
• One-loop divergences in 6D, N=(1,0) SYM theory
• Hypermultiplet effective action: N = 2 superspace approach
• Self-dual effective action of N = 4 SYM revisited
• Supergraph analysis of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ gauge theories
• One-loop divergences in the 6D, N=(1,0) abelian gauge theory
• Interpolating the Coulomb Phase of Little String Theory
• On the two-loop four-derivative quantum corrections in 4D N = 2 superconformal field theories
• M-Theory and Maximally Supersymmetric Gauge Theories
• Exact propagators in harmonic superspace
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• On the two-loop divergences of the 2-point hypermultiplet supergraphs for $6D$, $\mathcal{N}=(1,1)$ SYM theory
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• 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

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