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arXiv · 1610.08902

Off- and on-shell harmonic superspaces for 6D SYM theories

Evgeny Ivanov
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Abstract

It is a brief account of the harmonic superspace formulations of {\cal N}=(1,0) and {\cal N}=(1,1) SYM theories in six dimensions. The on-shell {\cal N}=(1,1) harmonic superspace is argued to provide an efficient tool of constructing candidate counterterms and other invariants of {\cal N}=(1,1) SYM. It allows one, e.g., to find out an essential difference between the single- and double-trace dimension d=10 invariants, which could be capable to explain the absence of the three-loop double-trace (non-planar) counterterms in this theory. The defining superspace constraints of {\cal N}=(1,1) SYM are solved in terms of {\cal N}=(1,0) harmonic superfields.

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Evgeny Ivanov. 2016-10-27. Off- and on-shell harmonic superspaces for 6D SYM theories. https://doi.org/10.1088/1742-6596/804/1/012020

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