Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

Evgeny Ivanov

doi:10.1007/978-981-13-2179-5_5

Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

Evgeny Ivanov

https://doi.org/10.1007/978-981-13-2179-5_5

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Publication Date: Jan 1, 2018

#SYM Theory #Candidate Counterterms + Show 8 more

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Abstract

Using the harmonic superfield description of $\mathscr {N}=(1,1)$ SYM theory, the list of possible candidate counterterms with the canonical dimensions d $=$ 6, 8 and 10 is derived from hidden $\mathscr {N}=(0,1)$ supersymmetry. The $d=6$ and $d= 8$ counterterms are at least on-shell vanishing, that means the one- and two-loop UV finiteness of $\mathscr {N}=(1,1)$ SYM theory. The explicit quantum calculations in fact demonstrate a stronger property of its off-shell one-loop finiteness.

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