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+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ### Context #### Spin geometry +-- {: .hide} [[!include higher spin geometry - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Idea A _pure spinor_ is a [[spinor]] with vanishing [spinor-to-vector pairing](spin+representation#SuperPoincareBrackets) $$ \overline{\psi} \Gamma^a \psi \;=\; 0 \,. $$ ## Related concepts * [[Berkovits superstring]] ## References See also * Wikipedia, _[Pure spinor](https://en.wikipedia.org/wiki/Pure_spinor)_ Discussion of [[superstring scattering amplitudes]] in terms of pure spinors: * [[Carlos Mafra]], [[Oliver Schlotterer]], _Towards the $n$-point one-loop superstring amplitude I: Pure spinors and superfield kinematics_ ([arXiv:1812.10969](https://arxiv.org/abs/1812.10969)) * [[Carlos Mafra]], [[Oliver Schlotterer]], _Towards the $n$-point one-loop superstring amplitude II: Worldsheet functions and their duality to kinematics_ ([arXiv:1812.10970](https://arxiv.org/abs/1812.10970)) * [[Carlos Mafra]], [[Oliver Schlotterer]], _Towards the $n$-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure_ ([arXiv:1812.10971](https://arxiv.org/abs/1812.10971)) Relation to [[picture changing operators]]: * Andrei Mikhailov, Dennis Zavaleta, _Geometrical framework for picture changing operators in the pure spinor formalism_ ([arXiv:2003.13995](https://arxiv.org/abs/2003.13995)) On pure spinors in [[supergravity]]: * [[Martin Cederwall]], *Pure spinors in classical and quantum supergravity*, in *[[Handbook of Quantum Gravity]]* (2023) [[arXiv:2210.06141](https://arxiv.org/abs/2210.06141)] Relating the [[D'Auria-Fré formulation of supergravity]] to pure spinor-formalism: * [[Pietro Antonio Grassi]], *Remarks on the Integral Form of $D=11$ Supergravity* [[arXiv:2304.01743](https://arxiv.org/abs/2304.01743)] [[!redirects pure spinors]]