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.
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Submitted on : Monday, November 2, 2015 - 11:18:42 AM
Last modification on : Wednesday, March 27, 2019 - 4:02:05 PM

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G. Bossard, E. Ivanov, A. Smilga. Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace. Journal of High Energy Physics, Springer, 2015, 2015 (12), pp.85. ⟨10.1007/JHEP12(2015)085⟩. ⟨in2p3-01222562⟩

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