English

Invariant Tensors in Gauge Theories

High Energy Physics - Theory 2018-06-13 v1

Abstract

Invariant tensors play an important role in gauge theories, for example, in dualities of N=1 gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the construction of these tensors, and use it to find the complete set of invariant tensors of a theory of SO(3) with fields in the symmetric tensor representation.

Keywords

Cite

@article{arxiv.1806.04332,
  title  = {Invariant Tensors in Gauge Theories},
  author = {Dillon Berger and Jessica N. Howard and Arvind Rajaraman},
  journal= {arXiv preprint arXiv:1806.04332},
  year   = {2018}
}