TY - JOUR
T1 - Batalin–Vilkovisky Quantization and Supersymmetric Twists
AU - Safronov, Pavel
AU - Williams, Brian R.
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2023/8/31
Y1 - 2023/8/31
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85157967929&partnerID=8YFLogxK
U2 - 10.1007/s00220-023-04721-w
DO - 10.1007/s00220-023-04721-w
M3 - Article
AN - SCOPUS:85157967929
SN - 0010-3616
VL - 402
SP - 35
EP - 77
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -