HIGHER-DIMENSIONAL INVARIANTS IN 6D SUPER YANG-MILLS THEORY

Higher-dimensional invariants in 6D super Yang-Mills theory

Higher-dimensional invariants in 6D super Yang-Mills theory

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Abstract We exploit the 6D, N $$ mathcal{N} $$ = (1, 0) and N $$ mathcal{N} $$ = (1, 1) harmonic superspace approaches to construct the full set of the maximally supersymmetric on-shell invariants of the canonical dimension d = 12 in 6D, N $$ mathcal{N} $$ = (1, 1) supersymmetric Yang-Mills (SYM) theory.Both single- and double-trace dreamtops invariants are derived.Only four single-trace and two double-trace invariants prove to be independent.

The invariants constructed can provide the possible counterterms of N $$ mathcal{N} $$ = (1, 1) SYM theory at four-loop order, where the first double-trace divergences are expected to appear.We explicitly exhibit the gauge sector of all invariants in terms of N $$ mathcal{N} $$ = (1, 0) gauge superfields and find deus gorras the absence of N $$ mathcal{N} $$ = (1, 1) supercompletion of the F 6 term in the abelian limit.

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