English

The Hilbert basis method for D-flat directions and the superpotential

High Energy Physics - Theory 2015-05-30 v1 High Energy Physics - Phenomenology

Abstract

We discuss, using the Hilbert basis method, how to efficiently construct a complete basis for D-flat directions in supersymmetric Abelian and non-Abelian gauge theories. We extend the method to discrete (R and non-R) symmetries. This facilitates the construction of a basis of all superpotential terms in a theory with given symmetries.

Cite

@article{arxiv.1108.2154,
  title  = {The Hilbert basis method for D-flat directions and the superpotential},
  author = {Rolf Kappl and Michael Ratz and Christian Staudt},
  journal= {arXiv preprint arXiv:1108.2154},
  year   = {2015}
}

Comments

11 pages; a related mathematica code can be found at http://einrichtungen.ph.tum.de/T30e/codes/NonAbelianHilbert/

R2 v1 2026-06-21T18:48:46.057Z