Interacting Vector-Spinor and Nilpotent Supersymmetry

Details Interacting Vector-Spinor and Nilpotent Supersymmetry Interacting Vector-Spinor and Nilpotent Supersymmetry

2005-11-26

arxiv.org/abs/hep-th/0511267v1

Class.Quant.Grav.23:5215-5226,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures

Scientific paper

10.1088/0264-9381/23/17/007

We formulate an interacting theory of a vector-spinor field that gauges anticommuting spinor charges \{Q_\alpha{}^I, Q_\beta{}^J \} = 0 in arbitrary space-time dimensions. The field content of the system is (\psi_\mu{}^{\alpha I}, \chi^{\alpha I J}, A_\mu{}^I), where \psi_\mu{}^{\alpha I} is a vector-spinor in the adjoint representation of an arbitrary gauge group, and A_\mu{}^I is its gauge field, while \chi^{\alpha I J} is an extra spinor with antisymmetric adjoint indices I J. Amazingly, the consistency of the vector-spinor field equation is maintained, despite its non-trivial interactions.

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