Supersymmetric theories on squashed five-sphere

Understand

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges.

• We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions.
• The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.