# The derived pure spinor formalism as an equivalence of categories

@inproceedings{Elliott2022TheDP, title={The derived pure spinor formalism as an equivalence of categories}, author={Chris Elliott and Fabian Hahner and Ingmar Saberi}, year={2022} }

A BSTRACT . We construct a derived generalization of the pure spinor superﬁeld formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation algebra and equivariant modules over its Chevalley–Eilenberg cochains. This equivalence is closely linked to Koszul duality for the supertranslation algebra. After introducing and describing the category of supermultiplets, we deﬁne the derived pure spinor construction explicitly as a dg-functor. We then…

## One Citation

### Six-dimensional supermultiplets from bundles on projective spaces

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The projective variety of square-zero elements in the six-dimensional minimal supersymmetry algebra is isomorphic to P1 ×P3. We use this fact, together with the pure spinor superfield formalism, to…

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