Branching rules for the supergroup SU(N/M) from those of SU(N+M)
- 1 July 1982
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (7) , 1239-1247
- https://doi.org/10.1063/1.525508
Abstract
The decomposition of representations of supergroups into representations of subgroups is needed in practical applications. In this paper we set up and exploit a fruitful one‐to‐one correspondence between the Lie group branching SU (N+M)⊇SU(N)⊗SU(M)⊗U(1) and the supergroup branchings SU(N/M)⊇SU(N)⊗SU(M)⊗U(1) and SU(N1+N2/M1+M2)⊇SU(N1/M1) ⊗SU(N2/M2)⊗U(1). A simple and useful prescription is discovered for obtaining the SU(N/M) branching rules from those of SU(N+M) for any representation. A large class of examples, sufficient for many physical applications we can foresee, are explicitly worked out and tabulated.Keywords
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