2016/10/27 by Evgeny Ivanov
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dimension (graph theory) #Harmonic #Harmonic analysis #Harmonic oscillator #Particle physics theoretical and experimental studies #Superspace #hep-th #msc:70S15 #msc:81T60
paper · pdf · doi:10.1088/1742-6596/804/1/012020
9 pages, To appear in the Proceedings of the International Conference on Integrable Systems and Quantum Symmetries (ISQS24), 14-18 June 2016, Prague
arxiv created 2016/10/27 · openalex created_date 2016/11/04 · openalex publication_date 2017/01/01 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/06
It is a brief account of the harmonic superspace formulations of N = (1, 0) and N = (1, 1) SYM theories in six dimensions. The on-shell N = (1, 1) harmonic superspace is argued to provide an efficient tool of constructing candidate counterterms and other invariants of 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 N = (1, 1) SYM are solved in terms of N = (1, 0) harmonic superfields.