Spectroscopy of Gauge Theories Based on Exceptional Lie Groups

Details Spectroscopy of Gauge Theories Based on Exceptional Lie Groups Spectroscopy of Gauge Theories Based on Exceptional Lie Groups

2001-07-18

arxiv.org/abs/hep-th/0107151v2

J.Phys.A34:8631-8658,2001

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, no figures; version 2: 3 footnotes and 3 references added

Scientific paper

10.1088/0305-4470/34/41/317

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.

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