English

Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation

High Energy Physics - Theory 2010-04-05 v2

Abstract

Using the covariant N=2 harmonic supergraph techniques we calculate the one-loop low-energy effective action of N=4 super-Yang-Mills theory in Coulomb branch with gauge group SU(2) spontaneously broken down to U(1). The full dependence of the low-energy effective action on both the hypermultiplet and gauge fields is determined. The direct quantum calculation confirms the correctness of the exact N=4 SYM low-energy effective action derived in hep-th/0111062 on the purely algebraic ground by invoking a hidden N=2 supersymmetry which completes the manifest N=2 one to N=4. Our results provide an exhaustive solution to the problem of finding out the exact completely N=4 supersymmetric low-energy effective action for the theory under consideration.

Keywords

Cite

@article{arxiv.hep-th/0210241,
  title  = {Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation},
  author = {I. L. Buchbinder and E. A. Ivanov and A. Yu. Petrov},
  journal= {arXiv preprint arXiv:hep-th/0210241},
  year   = {2010}
}

Comments

LaTeX, 21 pages; minor corrections

R2 v1 2026-07-22T15:13:46.915Z