Topological twists of supersymmetric algebras of observables

Abstract

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 $10$.

arXiv comment56 pages

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Cited by in corpus (8)

• Mirror symmetry and line operators
• Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
• Spontaneous symmetry breaking: a view from derived geometry
• From orthosymplectic structure to super topological matter
• Combinatorial proof of a Non-Renormalization Theorem
• Algebras over not too little discs
• Homotopy representations of extended holomorphic symmetry in holomorphic twists
• Twisting BFSS & IKKT