On the triangle anomaly number of SU(n) representations

DOI10.1063/1.524815zbMath0483.22008OpenAlexW1998719648MaRDI QIDQ3941617

R. T. Sharp, Jirí Patera

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524815

zbMATH Keywords

group representationCasimir operatorplethysmsweight spaceanomaly numberrenormalizable gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items

Reduction of tensor products with definite permutation symmetry: Embeddings of irreducible representations of Lie groups into fundamental representations of SU(M) and branchings, General indices of representations and Casimir invariants, Indices of representations of simple superalgebras, General indices of simple Lie algebras and symmetrized product representations, On the anomaly number of the classical groups, Second and fourth indices of plethysms, Branching index sum rules for simple Lie algebras

Cites Work

• On a new relation between semisimple Lie algebras
• Generating functions for SU(2) plethysms with fixed exchange symmetry
• Higher indices of group representations