Pramana

, Volume 18, Issue 4, pp 349–383

Weights of elementary representations in SU(5)-SO(10)-E6 chain

  • Tapas Das
  • S K Soni
Article
  • 45 Downloads

Abstract

For Dynkin labels of weights in 5 and 10 of SU(5), 10 and 16 of SO(10) and 27 ofE, we find it instructive to (a) explōit the Cartan decom position into a nonsemi simple symmetric subalgebra and coset space, (b) introduce a set of annihilation and creation operators, that may act on an invariant 10>, to represent suitably the shift-action and weight-vectors.

Keywords

Dynkin labels elementary representations annihilation operators creation operators symmetric subalgebra 

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References

  1. Dynkin E B 1957 a, bAm. Math. Soc. Trans. 26 111, 327Google Scholar
  2. Gilmore R 1974Lie groups, Lie algebras and some of their applications Ch. 9 (New York: Wiley)MATHGoogle Scholar
  3. Mohapatra R N and Sakita B 1980Phys. Rev. D21 1062ADSMathSciNetGoogle Scholar
  4. Slansky R 1981Phys. Rep. 79 1CrossRefADSMathSciNetGoogle Scholar
  5. Wilczek and Zee 1982Phys. Rev. D25 553ADSGoogle Scholar

Copyright information

© Indian Academy of Sciences 1982

Authors and Affiliations

  • Tapas Das
    • 1
  • S K Soni
    • 2
  1. 1.Tata Institute of Fundamental ResearchBombayIndia
  2. 2.Physics DepartmentUniversity of PennsylvaniaPhiladelphiaUSA

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