Invariant Tensors for $SU(3)$ with Adjoints

Arvind Rajaraman

Invariant Tensors for $SU(3)$ with Adjoints

High Energy Physics - Theory 2022-11-23 v1 Mathematical Physics math.MP

Authors: Arvind Rajaraman

Abstract

We develop a method for finding the independent invariant tensors of a gauge theory. Our method uses a theorem relating invariant tensors and constant configurations in field space. We apply our method to an $SU(3)$ gauge theory with matter in the adjoint representation, and find the independent invariant tensors of this theory.

Keywords

invariant tensors su(3) gauge theory adjoint representation field space constant configurations

Cite

@article{arxiv.2211.11851,
  title  = {Invariant Tensors for $SU(3)$ with Adjoints},
  author = {Arvind Rajaraman},
  journal= {arXiv preprint arXiv:2211.11851},
  year   = {2022}
}

Comments

13 pages

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