Maximal super YangMills theories on curved background with offshell supercharges
Abstract
We construct d ≤ 7 dimensional maximally supersymmetric YangMills theories on a class of curved backgrounds with offshell supercharges. The offshell supersymmetry is mainly a generalization of onshell supersymmetry previously constructed by Blau. We present several examples of backgrounds and discuss the number of the preserved supersymmetries on these backgrounds. We also construct another maximally supersymmetric YangMills theories on S ^{3} obtained by dimensional reduction along mathbb{R} direction of mathcal{N} =4 superYangMillstheoryon mathbb{R} × S ^{3}.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2013
 DOI:
 10.1007/JHEP01(2013)162
 arXiv:
 arXiv:1209.4320
 Bibcode:
 2013JHEP...01..162F
 Keywords:

 Supersymmetric gauge theory;
 pbranes;
 Extended Supersymmetry;
 Field Theories in Higher Dimensions;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 19 pages, no figrues, typos corrected, reference added, some explanations improved