Supergroups and superalgebras in physics

DOI10.1016/0167-2789(85)90147-2zbMath0579.20011OpenAlexW1977793952MaRDI QIDQ1066997

Itzhak Bars

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90147-2

zbMATH Keywords

characterstensor productsrepresentationsdimensionsoscillator representationbranching rulesCasimir eigenvaluessupergroupsDynkin-Kac diagramsquark physicssuper Young tableaux

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Applications of group representations to physics and other areas of science (20C35)

Related Items (12)

Coherent state path-integral representation of supersymmetric lattice models ⋮ Normally ordered Bose–Fermi operator realization of the SU(N/M) group ⋮ On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Baker–Campbell–Hausdorff relations for supergroups ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations ⋮ On the theory of one-parameter subgroups of supergroups ⋮ Orthogonality relations and supercharacter formulas of U(m|n) representations ⋮ Regular subalgebras of Lie superalgebras and extended Dynkin diagrams ⋮ Boson–fermion models for osp(1,2) and U q[osp(1,2)] ⋮ 4D doubleton conformal theories, CPT and IIB strings on \(\text{AdS}_ 5\times S^ 5\). ⋮ Novel supermultiplets of \(\text{SU}(2,2|4)\) and the \(\text{AdS}_5/\text{CFT}_4\) duality

Cites Work

• Unnamed Item
• Unitary representations of noncompact supergroups
• Kac–Dynkin diagrams and supertableaux
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups

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