BatalinVilkovisky quantization and supersymmetric twists
Abstract
We show that a family of topological twists of a supersymmetric mechanics with a Kähler target exhibits a BatalinVilkovisky 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 DonaldsonThomas invariants, HaydysWitten theory and the 3dimensional Amodel.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.07218
 Bibcode:
 2021arXiv210707218S
 Keywords:

 Mathematical Physics;
 Mathematics  Algebraic Geometry;
 Mathematics  Symplectic Geometry