#### Abstract

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 may find applications in effective theories with the 210 vector arising as a condensate. The analysis presented here completes the explicit computation of all lowest order couplings involving the 16± of spinors with Higgs and vectors multiplets using the basic theorem.

#### Keywords

210 dimensional SO(10) vector multiplet, coupling, high energy physics theory

#### Subject Categories

Particles (Nuclear physics)

#### Disciplines

Physics

#### Publication Date

2003

#### Permanent URL

#### Recommended Citation

Nath, Pran and Syed, Raza M., "Coupling the supersymmetric 210 vector multiplet to matter in SO(10)" (2003). *Physics Faculty Publications.* Paper 84. http://hdl.handle.net/2047/d20000437

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## Notes

Originally posted at http://arxiv.org/abs/hep-th/0310178v1. Preprint of an article published in Nuclear Physics B, 2003.