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

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

Blog Article

Abstract We exploit the 6D, N $$ mathcal{N} $$ = (1, 0) and N $$ mathcal{N} $$ = (1, 1) harmonic superspace approaches to 14b-ca0013dx 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 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 kicker pro comp 10 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 the absence of N $$ mathcal{N} $$ = (1, 1) supercompletion of the F 6 term in the abelian limit.