Reconstruction of N=1 supersymmetry from topological symmetry

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.

13 pages

References in corpus (2)

• Topological Vector Symmetry of BRSTQFT and Construction of Maximal Supersymmetry
• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds

Cited by in corpus (6)

• On F-term contribution to effective action
• SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
• Topological twists of supersymmetric algebras of observables
• Holomorphic Superspace
• Twisted N=1, d=4 supergravity and its symmetries
• One-dimensional structures behind twisted and untwisted superYang-Mills theory