Kernel solutions of the Kostant operator on eight-dimensional quotient spaces

Details Kernel solutions of the Kostant operator on eight-dimensional quotient spaces Kernel solutions of the Kostant operator on eight-dimensional quotient spaces

2005-12-19

arxiv.org/abs/hep-th/0512237v3

JHEP0601:169,2006

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. Typos corrected

Scientific paper

10.1088/1126-6708/2006/01/169

After introducing the generators and irreducible representations of the ${\rm su}(5)$ and ${\rm so}(6)$ Lie algebras in terms of the Schwinger's scillators, the general kernel solutions of the Kostant operators on eight-dimensional quotient spaces ${\rm su}(5)/{\rm su}(4)\times {\rm u}(1)$ and ${\rm so}(6)/{\rm so}(4)\times {\rm so}(2)$ are derived in terms of the diagonal subalgebras ${\rm su}(4)\times {\rm u}(1)$ and ${\rm so}(4)\times {\rm so}(2)$, respectively.

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