Corpus ID: 235899153

Batalin--Vilkovisky quantization and supersymmetric twists

@inproceedings{Safronov2021BatalinVilkoviskyQA,
  title={Batalin--Vilkovisky quantization and supersymmetric twists},
  author={P. Safronov and B. Williams},
  year={2021}
}
We show that a family of topological twists of a supersymmetric mechanics with a Kähler 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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