Non-renormalization theorems and N=2 supersymmetric backgrounds

Abstract

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.

30 pages; v2: minor corrections

References in corpus (3)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• String Theory Effects on Five-Dimensional Black Hole Physics
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!

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