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 super-translation algebra and equivariant modules over its Chevalley-Eilenberg cochains. This equivalence is closely linked to Koszul dual...

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Bibliographic Details
Main Authors: Elliott, Chris (Author) , Hahner, Fabian (Author) , Saberi, Ingmar (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 27 May 2022
Edition:Version v2
In: Arxiv
Year: 2022, Pages: 1-49
DOI:10.48550/arXiv.2205.14133
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2205.14133
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2205.14133
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Author Notes:Chris Elliott, Department of Mathematics and Statistics, University of Massachusetts at Amherst, 710 N. Pleasant St. Amherst, MA 01003, U.S.A., Fabian Hahner, Mathematisches Institut der Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Deutschland, Ingmar Saberi, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333 München, Deutschland
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The derived pure spinor formalism as an equivalence of categories by Elliott, Chris (Author) , Hahner, Fabian (Author) , Saberi, Ingmar (Author) ,


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