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<p>Linearized solutions of SUGRA equations of motion are described in the pure spinor formalism by vertex operators. Under supersymmetry transformations, they transform covariantly only up to BRST exact terms. We identify the cohomology class which is the obstacle for exact covariance. Computations are simplified by using the formalism of quadratic algebras.</p>

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Yang–Mills algebra and symmetry transformations of vertex operators

  • 期刊论文

  • 发表日期：

    2025年3月22日

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  • Andrei Mikhailov

摘要

Linearized solutions of SUGRA equations of motion are described in the pure spinor formalism by vertex operators. Under supersymmetry transformations, they transform covariantly only up to BRST exact terms. We identify the cohomology class which is the obstacle for exact covariance. Computations are simplified by using the formalism of quadratic algebras.