The Derived Pure Spinor Formalism as an Equivalence of Categories

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 duali...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Elliott, Chris, Hahner, Fabian, Saberi, Ingmar
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211921
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Derived Pure Spinor Formalism as an Equivalence of Categories. Chris Elliott, Fabian Hahner and Ingmar Saberi. SIGMA 19 (2023), 022, 37 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine