English

Non-renormalization theorems and N=2 supersymmetric backgrounds

High Energy Physics - Theory 2015-06-18 v2

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.

Keywords

Cite

@article{arxiv.1401.6591,
  title  = {Non-renormalization theorems and N=2 supersymmetric backgrounds},
  author = {Daniel Butter and Bernard de Wit and Ivano Lodato},
  journal= {arXiv preprint arXiv:1401.6591},
  year   = {2015}
}

Comments

30 pages; v2: minor corrections

R2 v1 2026-06-22T02:54:49.618Z