Topological twists of supersymmetric algebras of observables

Chris Elliott, Pavel Safronov

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We explain how to perform topological twisting of supersymmetric field theories in the language of factorization algebras. Namely, given a supersymmetric factorization algebra with a choice of a topological supercharge we construct an algebra over the operad of little disks. We also explain the role of the twisting homomorphism allowing us to construct an algebra over the operad of framed little disks. Finally, we give a complete classification of topological supercharges and twisting homomorphisms in dimensions 1 through 10.
Original languageEnglish
Pages (from-to)727–786
Number of pages56
JournalCommunications in Mathematical Physics
Volume371
Early online date8 Mar 2019
DOIs
Publication statusPublished - 31 Oct 2019

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