English

Yang-Mills theories and quadratic forms

High Energy Physics - Theory 2020-02-25 v1

Abstract

We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4;d=4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this feature, in the non-supersymmetric case, seems to be unique to four dimensions. We discuss some consequences of this feature.

Keywords

Cite

@article{arxiv.1507.01068,
  title  = {Yang-Mills theories and quadratic forms},
  author = {Sudarshan Ananth and Lars Brink and Mahendra Mali},
  journal= {arXiv preprint arXiv:1507.01068},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-22T10:05:34.250Z