The Batalin-Vilkovisky Formalism and the Determinant Line Bundle
arXiv:1908.10894 · doi:10.1016/j.geomphys.2020.103792
Abstract
Given a smooth family of massless free fermions parametrized by a base manifold , we show that the (mathematically rigorous) Batalin-Vilkovisky quantization of the observables of this family gives rise to the determinant line bundle for the corresponding family of Dirac operators.
24 pages, 1 appendix. Comments welcome!