The Derived Pure Spinor Formalism as an Equivalence of Categories

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• Hauptverfasser: Elliott, Chris, Hahner, Fabian, Saberi, Ingmar
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211921
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...