Topological twists of supersymmetric algebras of observables

Understand

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 $10$.