Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building
High Energy Physics - Phenomenology
2020-08-18 v2 High Energy Physics - Theory
Abstract
We give information about finite-dimensional Lie algebras and their representations for model building in 4 and 5 dimensions; e.g., conjugacy classes, types of representations, Weyl dimensional formulas, Dynkin indices, quadratic Casimir invariants, anomaly coefficients, projection matrices, and branching rules of Lie algebras and their subalgebras up to rank-20. We show what kind of Lie algebras can be applied for grand unified theories in 4 and 5 dimensions.
Keywords
Cite
@article{arxiv.1511.08771,
title = {Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building},
author = {Naoki Yamatsu},
journal= {arXiv preprint arXiv:1511.08771},
year = {2020}
}
Comments
11232 pages, 1500 tables, no figures; typos, data, etc. corrected; data, section, references, etc. added