LieART—A Mathematica application for Lie algebras and representation theory

R Feger, TW Kephart - Computer Physics Communications, 2015 - Elsevier
We present the Mathematica application “LieART”(LieAlgebras and Representation T heory)
for computations frequently encountered in Lie algebras and representation theory, such as …

LieART 2.0–a mathematica application for lie algebras and representation theory

R Feger, TW Kephart, RJ Saskowski - Computer Physics Communications, 2020 - Elsevier
We present LieART 2.0 which contains substantial extensions to the Mathematica
application LieART (Lie Algebras and Representation T heory) for computations frequently …

Neutrinos and flavor symmetries

M Tanimoto - AIP Conference Proceedings, 2015 - pubs.aip.org
We discuss the recent progress of flavor models with the non-Abelian discrete symmetry in
the lepton sector focusing on the θ13 and CP violating phase. In both direct approach and …

Attempt at constructing a model of grand gauge-Higgs unification with family unification

N Maru, R Nago - Physical Review D, 2024 - APS
We discuss a possibility whether a model of grand gauge-Higgs unification incorporating
family unification in higher dimensions can be constructed. We first extend a five …

[HTML][HTML] On the chirality of the SM and the fermion content of GUTs

RM Fonseca - Nuclear Physics B, 2015 - Elsevier
Abstract The Standard Model (SM) is a chiral theory, where right-and left-handed fermion
fields transform differently under the gauge group. Extra fermions, if they do exist, need to be …

Origins of inert Higgs doublets

TW Kephart, TC Yuan - Nuclear Physics B, 2016 - Elsevier
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Grand unification and exotic fermions

RP Feger, TW Kephart - Physical Review D, 2015 - APS
We exploit the recently developed software package LieART to show that SU (N) grand
unified theories with chiral fermions in mixed tensor irreducible representations can lead to …

LieART 2.0--An Improved Way to Compute Branching Rules

R Saskowski - 2019 - ir.vanderbilt.edu
In this thesis, we present LieART 2.0 which contains substantial extensions to the
Mathematica application LieART (Lie Algebras and Representation Theory) for …

Unification of gauge, family, and flavor symmetries illustrated in gauged SU (12) models

CH Albright, RP Feger, TW Kephart - Physical Review D, 2016 - APS
To explain quark and lepton masses and mixing angles, one has to extend the standard
model, and the usual practice is to put the quarks and leptons into irreducible …

The algebraic structure of the SU (7) Lie group

A Goetz, JA Secrest - Journal of Mathematical Physics, 2019 - pubs.aip.org
In recent years, the Lie group SU (7) has been featured prominently in a number of grand
unification proposals involving the Standard Model as a low energy effective theory. This …