nLab Editing pure spinor

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### Context
#### Spin geometry
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[[!include higher spin geometry - contents]]
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#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) &lbrack;[arXiv:2210.06141](https://arxiv.org/abs/2210.06141)&rbrack;

Relating the [[D'Auria-Fré formulation of supergravity]] to pure spinor-formalism:

* [[Pietro Antonio Grassi]], *Remarks on the Integral Form of $D=11$ Supergravity* &lbrack;[arXiv:2304.01743](https://arxiv.org/abs/2304.01743)&rbrack;

[[!redirects pure spinors]]

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