Abstract
We present electric-magnetic (EM)-duality formulations for non-Abelian gauge groups with supersymmetry in and space-time dimensions. We show that these systems generate self-dual supersymmetric Yang-Mills (SDSYM) theory in . For a supersymmetric EM-dual system in , we have the Yang-Mills multiplet and a Hodge-dual multiplet , with an auxiliary tensors and . Here, is the adjoint index, while is for the doublet of . The EM-duality conditions are with its superpartner duality condition . Upon appropriate dimensional reduction, this system generates SDSYM in . This system is further generalized to with the EM-duality condition with its superpartner condition . Upon appropriate dimensional reduction, this theory also generates SDSYM in . As long as we maintain Lorentz covariance, dimensions seems to be the maximal space-time dimensions that generate SDSYM in . Namely, EM-dual system in serves as the Master Theory of all supersymmetric integrable models in dimensions .
- Received 16 November 2015
DOI:https://doi.org/10.1103/PhysRevD.93.105041
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