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SU(N) irreducible Schwinger bosons

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3464267· OSTI ID:21476496
;  [1];  [2]
  1. Block JD, Sector III, S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata-700098 (India)
  2. The Institute of Mathematical Sciences, CIT-Campus, Taramani, Chennai, 600113 (India)
We construct SU(N) irreducible Schwinger bosons satisfying certain U(N-1) constraints which implement the symmetries of SU(N) Young tableaues. As a result all SU(N) irreducible representations are simple monomials of (N-1) types of SU(N) irreducible Schwinger bosons. Further, we show that these representations are free of multiplicity problems. Thus, all SU(N) representations are made as simple as SU(2).
OSTI ID:
21476496
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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