English

Global gauge conditions in the Batalin-Vilkovisky formalism

Mathematical Physics 2020-08-10 v3 High Energy Physics - Theory Differential Geometry math.MP

Abstract

In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge conditions over different parts of the space of fields, and apply this method to extend the light-cone gauge for the superparticle to a conic neighbourhood of the forward light-cone in momentum space.

Keywords

Cite

@article{arxiv.1911.11269,
  title  = {Global gauge conditions in the Batalin-Vilkovisky formalism},
  author = {Ezra Getzler and Sean Weinz Pohorence},
  journal= {arXiv preprint arXiv:1911.11269},
  year   = {2020}
}

Comments

23 pages, revised version accepted for publication. Amended Corollary 5.3 to show invariance of partition function under isotopies of Lagrangians