Rigid 6D supersymmetry and localization

Understand

We construct rigid supersymmetric theories for interacting vector and tensor multiplets on six-dimensional Riemannian spin manifolds.

• Analyzing the Killing spinor equations, we derive the constraints on these theories.
• To this end, we reformulate the conditions for supersymmetry as a set of necessary and sufficient conditions on the geometry.
• The formalism is illustrated with a number of examples, including manifolds that are hermitian, strong Kaehler with torsion.