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Coupling The Supersymmetric 210 Vector Multiplet To Matter In So(10), Pran Nath, Raza M. Syed
Coupling The Supersymmetric 210 Vector Multiplet To Matter In So(10), Pran Nath, Raza M. Syed
Pran Nath
An analysis of the couplings of the 210 dimensional SO(10) vector multiplet to matter is given. Specifically we give an SU(5) × U(1) decomposition of the vector couplings 1̄6̄± − 16± − 210, where 16± is the semispinor of SO(10) chirality ±, using a recently derived basic theorem. The analysis is carried out using the Wess-Zumino gauge. However, we also consider the more general situation where all components of the vector multiplet enter in the couplings with the chiral fields. Here elimination of the auxiliary fields leads to a sigma model type nonlinear Lagrangian. Interactions of the type analysed here …