Spectroscopy of Gauge Theories Based on Exceptional Lie Groups
High Energy Physics - Theory
2010-05-28 v2 Mathematical Physics
math.MP
Rings and Algebras
Abstract
We generate by computer a basis of invariants for the fundamental representations of the exceptional Lie groups E(6) and E(7), up to degree 18. We discuss the relevance of this calculation for the study of supersymmetric gauge theories, and revisit the self-dual exceptional models. We study the chiral ring of G(2) to degree 13, as well as a few classical groups. The homological dimension of a ring is a natural estimator of its complexity and provides a guideline for identifying theories that have a good chance to be amenable to a solution.
Keywords
Cite
@article{arxiv.hep-th/0107151,
title = {Spectroscopy of Gauge Theories Based on Exceptional Lie Groups},
author = {Philippe Pouliot},
journal= {arXiv preprint arXiv:hep-th/0107151},
year = {2010}
}
Comments
36 pages, no figures; version 2: 3 footnotes and 3 references added