English

$E_7 \subset Sp(56,R)$ irrep decompositions of interest for physical models

Representation Theory 2014-03-10 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In this note we show how to obtain the projection matrix for the E7C28E_7 \subset C_{28} chain and we tabulate some decompositions of the symplectic algebra C28C_{28} representations into irreps of the E7E_7 subalgebra that are important for various physical models.

Keywords

Cite

@article{arxiv.1312.5151,
  title  = {$E_7 \subset Sp(56,R)$ irrep decompositions of interest for physical models},
  author = {Lorenzo Fortunato and Willem A. de Graaf},
  journal= {arXiv preprint arXiv:1312.5151},
  year   = {2014}
}