The Batalin-Vilkovisky Formalism and the Determinant Line Bundle
Mathematical Physics
2020-07-02 v1 Differential Geometry
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.1908.10894,
title = {The Batalin-Vilkovisky Formalism and the Determinant Line Bundle},
author = {Eugene Rabinovich},
journal= {arXiv preprint arXiv:1908.10894},
year = {2020}
}
Comments
24 pages, 1 appendix. Comments welcome!