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arXiv · 2107.07218

Batalin--Vilkovisky quantization and supersymmetric twists

Pavel Safronov·Brian R. Williams
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Abstract

We show that a family of topological twists of a supersymmetric mechanics with a K\"ahler target exhibits a Batalin--Vilkovisky quantization. Using this observation we make a general proposal for the Hilbert space of states after a topological twist in terms of the cohomology of a certain perverse sheaf. We give several examples of the resulting Hilbert spaces including the categorified Donaldson--Thomas invariants, Haydys--Witten theory and the 3-dimensional A-model.

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BibTeXRIS

Pavel Safronov, Brian R. Williams. 2021-07-15. Batalin--Vilkovisky quantization and supersymmetric twists. https://doi.org/10.1007/s00220-023-04721-w

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