2012/06/08 by Abhishek Agarwal, Donovan Young
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.87.065029
published as Phys. Rev. D 87, 065029 (2013) · 1+13 pages
arxiv created 2012/06/08 · openalex publication_date 2013/03/28 · arxiv updated 2013/05/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
S matrices of N=2, 4, 8 supersymmetric Yang-Mills theories in three spacetime dimensions (without matter hypermultiplets) are shown to be covariant under SU(1|1), SU(2|2) and SU(2|2)\ensuremath\bigotimesSU(2|2), respectively. These symmetries are not manifest in the off-shell Lagrangian formulations of these theories. A possible connection between these symmetries and their representations in terms of the Yang-Mills degrees of freedom and the corresponding quantities in Chern-Simons matter theories with N\ensuremath≥4 supersymmetry is presented. Dimensional reduction of the on-shell observables of the Yang-Mills theories to two spacetime dimensions is discussed.