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Reconstruction of N=1 supersymmetry from topological symmetry

Laurent Baulieu·Guillaume Bossard
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Abstract

The scalar and vector topological Yang-Mills symmetries on Calabi-Yau manifolds geometrically define consistent sectors of Yang-Mills D=4,6 N=1 supersymmetry, which fully determine the supersymmetric actions up to twist. For a CY_2 manifold, both N=1,D=4 Wess and Zumino and superYang-Mills theory can be reconstructed in this way. A superpotential can be introduced for the matter sector, as well as the Fayet-Iliopoulos mechanism. For a CY_3 manifold, the N=1, D=6 Yang-Mills theory is also obtained, in a twisted form. Putting these results together with those already known for the D=4,8 N=2 cases, we conclude that all Yang--Mills supersymmetries with 4, 8 and 16 generators are determined from topological symmetry on special manifolds.

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Laurent Baulieu, Guillaume Bossard. 2008-02-04. Reconstruction of N=1 supersymmetry from topological symmetry. https://doi.org/10.1016/j.physletb.2005.09.090

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