SU(5/3) SUPERALGEBRA AND ITS REPRESENTATIONS OF FUNDAMENTAL PARTICLES

DOI10.1142/S0217732313500843zbMath1277.81111arXiv1302.6313OpenAlexW3100826468MaRDI QIDQ2866967

Seung-Kook Kim, Chang Ho Kim, Young-Jai Park

Publication date: 10 December 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6313

zbMATH Keywords

superalgebraKac-Dynkin weight techniquesunified gauge theory

Mathematics Subject Classification ID

Unified quantum theories (81V22) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• A sketch of Lie superalgebra theory
• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• The large \(N\) limit of superconformal field theories and supergravity
• Brane intersections, anti-de Sitter space-times and dual superconformal theories
• Representations of the exceptional Lie superalgebra \(E(3,6)\). I: Degeneracy conditions
• Bound states of strings and \(p\)-branes
• Evidence for F-theory
• Fundamental fermions fit inside one \(\text{su}(1|5)\) irreducible representation
• SUCCESSIVE SUPERALGEBRAIC TRUNCATIONS FROM THE MAXIMAL SUPERGRAVITY IN FOUR DIMENSIONS
• Superalgebraic Truncations from D=10, N=2 Chiral Supergravity
• Hidden supersymmetry—a ‘no superpartner’ theorem for representations of deformed conformal superalgebra
• Irreducible representations of SU(m/n)
• SU(m/n) weight systems and superprojection matrices
• Simple supersymmetries
• Electromagnetic and weak interactions
• Lie superalgebras
• Representations of the exceptional Lie superalgebra \(E(3,6)\). II: Four

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