Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace

Abstract

We revisit the issue of higher-dimensional counterterms for the N=(1,1) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second approach is developed in full generality and used to solve, for the first time, the N=(1,1) SYM constraints in terms of N=(1,0) superfields. This provides a convenient tool to write explicit expressions for the candidate counterterms and other N=(1,1) invariants and may be conducive to proving non-renormalization theorems needed to explain the absence of certain logarithmic divergences in higher-loop contributions to scattering amplitudes in N=(1,1) SYM.

55 pages, some signs in sections 3 and 4 are corrected without affecting further conclusions

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Cited by in corpus (12)

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• One-loop divergences in 6D, N=(1,0) SYM theory
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Supergraph analysis of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ gauge theories
• N=4 super-Yang-Mills in LHC superspace. Part I: Classical and quantum theory
• Ultraviolet divergences in non-renormalizable supersymmetric theories
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions
• Off- and on-shell harmonic superspaces for 6D SYM theories
• Supersymmetry at BLTP: Recent Progress in Two Directions