Branching rules and even-dimensional rotation groups SO2k
- 1 August 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (11) , 2405-2421
- https://doi.org/10.1088/0305-4470/16/11/013
Abstract
Unambiguous methods are developed for calculating branching rules for the classical subgroups of the even-dimensional rotation group SO2k. Complete results are given for the subgroups SUk*U1, SO2k-2*U1, SO2p*SO2q and SO2p+1*SO2q+1. A number of examples relevant to problems in supergravity and unification theories are given. A complete resolution of the antisymmetric powers of the basic spinor irrep of SO10 is given and the results extended to SO11.Keywords
This publication has 16 references indexed in Scilit:
- Kronecker products for compact semisimple Lie groupsJournal of Physics A: General Physics, 1983
- Beyond 11 -dimensional supergravity and Cartan integrable systemsPhysical Review D, 1982
- Indices, Triality, and Ultraviolet Divergences for Supersymmetric TheoriesPhysical Review Letters, 1982
- Geometric supergravity in D=11 and its hidden supergroupNuclear Physics B, 1982
- The supercurrent in ten dimensionsPhysics Letters B, 1982
- A new group theoretical technique for the analysis of Bianchi identities and its application to the auxiliary field problem of D = 5 supergravityAnnals of Physics, 1982
- Geometric structure of N=1, D=10 and N=4, D=4 super Yang-Mills theoryNuclear Physics B, 1982
- Spin sum rules in extended supersymmetryPhysics Letters B, 1981
- Branching rules for classical Lie groups using tensor and spinor methodsJournal of Physics A: General Physics, 1975
- Spinors in n DimensionsAmerican Journal of Mathematics, 1935