The Batalin-Vilkovisky formalism and the determinant line bundle

JOURNAL OF GEOMETRY AND PHYSICS

卷:156

Article

Rabinovich, Eugene¹ 

[1] Univ Calif Berkeley, Dept Math, 970 Evans Hall, Berkeley, CA 94720 USA

关键词: Batalin-Vilkovisky formalism;    Determinant line bundle;    Factorization algebras;    Massless free fermion;   

DOI  :  10.1016/j.geomphys.2020.103792

来源: Elsevier

【 摘 要 】

Given a smooth family of massless free fermions parametrized by a base manifold B, 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. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free