The Derived Pure Spinor Formalism as an Equivalence of Categories

• 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
• 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

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...