Non-renormalization theorems and N=2 supersymmetric backgrounds

Understand

The conditions for fully supersymmetric backgrounds of general N=2 locally supersymmetric theories are derived based on the off-shell superconformal multiplet calculus.

• This enables the derivation of a non-renormalization theorem for a large class of supersymmetric invariants with higher-derivative couplings.
• The theorem implies that the invariant and its first order variation must vanish in a fully supersymmetric background.
• The conjectured relation of one particular higher-derivative invariant with a specific five-dimensional invariant containing the mixed gauge-gravitational Chern-Simons term is confirmed.