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Comments on Equations of Motion for Pure Spinors in Even Dimensions

2004/11/02 by Takeshi Oota, Oota, Takeshi
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0411036

15 pages; A reference added. The content of chapter 3 replaced. The title and the rest of the paper are modified accordingly

openalex publication_date 2004/11/02 · arxiv created 2004/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Berkovits type action for pure spinors in even dimensions is considered. The equations of motion for pure spinors are investigated by using explicit parameterizations which solve the pure spinor constraints. For general interactions, the equations of motions are shown to be modified from the naive ones. The extra terms contain a particular projector. If the interactions are restricted to the ``ghost number'' u(1) and the Lorentz 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 of motion for the pure spinors retain the naive form even if the pure spinor constraints are taken into account.

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