Off- and on-shell harmonic superspaces for 6D SYM theories
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.
Keywords
Cite
@article{arxiv.1610.08902,
title = {Off- and on-shell harmonic superspaces for 6D SYM theories},
author = {Evgeny Ivanov},
journal= {arXiv preprint arXiv:1610.08902},
year = {2017}
}
Comments
9 pages, To appear in the Proceedings of the International Conference on Integrable Systems and Quantum Symmetries (ISQS24), 14-18 June 2016, Prague