Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups
- 1 April 1982
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (4) , 486-489
- https://doi.org/10.1063/1.525406
Abstract
An expression for the anomaly of any representation of the SU(N) groups and SU(N/M) supergroups is presented. Some anomaly free complex representations of SU(N) and SU(N/M) are pointed out. For SU(N) these occur for N?5 and for large dimensions. For SU(N/M) they already occur for low dimensions. Also a generating function to obtain the eigenvalues of all Casimir operators of SU(N/M) is given and an extension to other supergroups is pointed out.Keywords
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