I just started studying supersymmetry, but I am a little bit confused with the superspace and superfield formalism. When expanding the vector superfield in components, one obtains therms of the form [itex]\theta^{\alpha}\chi_{\alpha}[/itex], where [itex]\theta[/itex] is a Grassmann number and [itex]\chi[/itex] is a Weyl vector.(adsbygoogle = window.adsbygoogle || []).push({});

I am aware that Grassmann numbers anticommute [itex]\{\theta_{\alpha},\theta_{\beta}\}=0[/itex], and that ordinary numbers commute with Grassmann variables. Do Weyl spinor components commute or anticommute with the Grassmann variables? ([itex]\{\theta_{\alpha},\chi_{\beta}\}=0[/itex] or [itex][\theta_{\alpha},\chi_{\beta}]=0[/itex]).

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# Grassmann variables and Weyl spinors

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