Comments on Equations of Motion for Pure Spinors in Even Dimensions

摘要

A Berkovits type action for pure spinors in even dimensions is considered.The equations of motion for pure spinors are investigated by using explicitparameterizations which solve the pure spinor constraints. For general interactions, the equations of motions are shown to be modifiedfrom the naive ones. The extra terms contain a particular projector. If the interactions are restricted to the ``ghost number'' u(1) and theLorentz so(p,q) current couplings, the action has a large ``gauge symmetry''.In this case, in some ``gauges'', the extra terms vanish and the equations ofmotion for the pure spinors retain the naive form even if the pure spinorconstraints are taken into account.