Group theory for unified model building

1981/12/01 by R. Slansky, R Slansky · 42 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Computer science #Geometry #Group (periodic table) #Group representation #Group theory #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Representation theory #Simple (philosophy) #Symmetry group #Tensor product #Theoretical physics #Unification #Unified field theory #Vector space

paper · doi:10.1016/0370-1573(81)90092-2

crossref issued 1981/12/01 · crossref published 1981/12/01 · crossref published-print 1981/12/01 · openalex publication_date 1981/12/01 · crossref created 2002/10/17 · crossref deposited 2019/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/02

Citations

• The Octet Model and its Clebsch-Gordan Coefficients
• Global Conservation Laws and Massless Particles
• Lie Groups, Lie Algebras, and Some of Their Applications
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Reliable Perturbative Results for Strong Interactions?
• Observation of a Dimuon Resonance at 9.5 GeV in 400-GeV Proton-Nucleus Collisions
• A Model of Leptons
• Unity of All Elementary-Particle Forces
• CP-Violation in the Renormalizable Theory of Weak Interaction
• Partial-symmetries of weak interactions
• Tables of Clebsch-Gordan Coefficients of SU3

Cited by

• Axion predictions in SO(10) × U(1)PQ models
• D-brane Wess-Zumino terms and U-duality
• Proton decay in a supersymmetric SO(10) model with missing partner mechanism
• Geometrically Engineerable Chiral Matter in M-Theory
• A numerical algorithm for the explicit calculation of SU(N) and SL(N,\mathbb C)SL(N,C) Clebsch–Gordan coefficients
• Magnetic lattices for orthosymplectic quivers
• Cosmological bounds on sub-GeV dark vector bosons from electromagnetic energy injection
• CPviolation conditions inN-Higgs-doublet potentials
• Affine coxeter group Wa(A4), quaternions, and decagonal quasicrystals
• Astrophysical implications of a visible dark matter sector from a custodially warped GUT
• Low-energy dynamics of 3d N N = 2 G2 supersymmetric gauge theory
• New signals for vector-like down-type quark in U(1) of E₆
• Spin(7) compactifications and 1/4-BPS vacua in heterotic supergravity
• The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models
• LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory
• Simulated randomized benchmarking of a dynamically corrected cross-resonance gate
• Baryon number and lepton universality violation in leptoquark and diquark models
• Operator analysis for proton decay in supersymmetric SO(10) GUT models
• The gauge dual of a warped product of AdS 4 and a squashed and stretched seven-manifold
• Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations
• Couplings in renormalizable supersymmetric SO(10) models
• Webs of five-branes and 𝒩 = 2 superconformal field theories
• Flux Backgrounds and Exceptional Generalised Geometry
• N = 6 superspace constraints, SUSY enhancement and monopole operators
• Limits on scalar leptoquark interactions and consequences for GUTs
• SO(10) models with flavour symmetries: classification and examples
• Electroweak baryogenesis, CDM and anomaly-free supersymmetric U(1)′ models
• SU(5)×SU(5)′unification andD2parity: Model for composite leptons
• Noncommutative GUT inspired theories with U(1) andSU(N)groups and their renormalizability
• Black holes and groups of type E 7
• W-algebras and superalgebras from constrained WZW models: A group theoretical classification
• Catalan solids derived from three-dimensional-root systems and quaternions
• Generalized SU(2) Proca theory
• Unification, proton decay, and topological defects in non-SUSY GUTs with thresholds
• Kaluza-Klein fermion mass matrices from exceptional field theory and N = 1 spectra
• On the seesaw scale in supersymmetric SO(10) models
• Regularization techniques for the radiative corrections of Wilson lines and Kaluza-Klein states
• Searching for signatures of E6
• Candidates for the inflaton in quiver gauge theory
• Yukawa textures from heterotic stability walls
• F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy
• Restricted representation [wikipedia]