English

On the D = 4, N = 2 Non-Renormalization Theorem

High Energy Physics - Theory 2009-10-30 v2

Abstract

Using the harmonic superspace background field formulation for general D=4, N=2 super Yang-Mills theories, with matter hypermultiplets in arbitrary representations of the gauge group, we present the first rigorous proof of the N=2 non-renormalization theorem; specifically, the absence of ultraviolet divergences beyond the one-loop level. Another simple consequence of the background field formulation is the absence of the leading non-holomorphic correction to the low-energy effective action at two loops.

Keywords

Cite

@article{arxiv.hep-th/9710142,
  title  = {On the D = 4, N = 2 Non-Renormalization Theorem},
  author = {Ioseph L. Buchbinder and Sergei M. Kuzenko and Burt A. Ovrut},
  journal= {arXiv preprint arXiv:hep-th/9710142},
  year   = {2009}
}

Comments

16 pages, LATEX, uses FEYMAN macros, minor changes

R2 v1 2026-07-22T16:07:27.274Z