• Corpus ID: 208291231

# Global gauge conditions in the Batalin-Vilkovisky formalism

@article{Getzler2019GlobalGC,
title={Global gauge conditions in the Batalin-Vilkovisky formalism},
author={Ezra Getzler and Sean Weinz Pohorence},
journal={arXiv: Mathematical Physics},
year={2019}
}
• Published 25 November 2019
• Physics
• arXiv: Mathematical Physics
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.
2 Citations
. We prove a super-version of Nest-Tsygan’s algebraic index theorem. This work is inspired by the appearance of the same cobordism invariants in three related stories: index theory, trace methods in
This thesis explains the sense in which the superparticle exhibits general covariance in the world-line, and shows how to patch local choices of the light-cone gauge condition together, and define the path integral in this setting.

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