Analysis of SO(2N) Couplings of Spinor and Tensor Representations in $SU(N)\times U(1)$ Invariant Forms

Details Analysis of SO(2N) Couplings of Spinor and Tensor Representations in $SU(N)\times U(1)$ Invariant Forms Analysis of SO(2N) Couplings of Spinor and Tensor Representations in $SU(N)\times U(1)$ Invariant Forms

2004-11-03

arxiv.org/abs/hep-ph/0411054v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages Latex. Prepared for Proceedings of Pran Nath Fest in PASCOS04, August 17-22, 2004

Scientific paper

A review is given of a recently developed technique for the analysis of SO(2N) invariant couplings which allows a full exhibition of the SU(N) invariant content of couplings involving the SO(2N) semi-spinors $|\Psi_{\pm}>$ with chiralilty $\pm$ and tensor representations. We discuss the Basic Theorem used in the analysis and then exhibit the technique by illustrative examples for the computation of the trilinear and quartic couplings for the SO(10) case involving three generations of 16 plets of matter.

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