@article{4a3f58dc225a48b5ba88ab5c706e1c1b,
title = "Covariance of the classical brink-schwarz superparticle",
abstract = "We show that the classical Brink-Schwarz superparticle is a generalized AKSZ field theory. We work in the Batalin-Vilkovisky formalism: the main technical tool is the vanishing of Batalin-Vilkovisky cohomology below degree-1.",
author = "Ezra Getzler and Pohorence, {Sean Weinz}",
note = "Funding Information: The first author is grateful to Chris Hull for introducing him to the superparticle. His research is partially supported by a Fellowship of the Simons Foundation, Collaboration Grants 243025 and 524522 of the Simons Foundation, and EPSRC Programme Grant EP/K034456/1 \New Geometric Structures from String Theory. {"} Parts of this paper were written while he was visiting Imperial College, the Yau Mathematical Sciences Center at Tsinghua University and the Department of Mathematics of Columbia University, as a guest of Chris Hull, Si Li and Mohammed Abouzaid respectively. The research of the second author is supported in part by the National Science Foundation grant \RTG: Analysis on manifolds{"} at Northwestern University. Funding Information: The first author is grateful to Chris Hull for introducing him to the superpar-ticle. His research is partially supported by a Fellowship of the Simons Foundation, Collaboration Grants 243025 and 524522 of the Simons Foundation, and EPSRC Programme Grant EP/K034456/1 “New Geometric Structures from String Theory.” Parts of this paper were written while he was visiting Imperial College, the Yau Mathematical Sciences Center at Tsinghua University and the Department of Mathematics of Columbia University, as a guest of Chris Hull, Si Li and Mohammed Abouzaid respectively. Funding Information: The research of the second author is supported in part by the National Science Foundation grant “RTG: Analysis on manifolds” at Northwestern University. Publisher Copyright: {\textcopyright} 2019.",
year = "2019",
doi = "10.4310/ATMP.2019.v23.n6.a4",
language = "English (US)",
volume = "23",
pages = "1599--1630",
journal = "Advances in Theoretical and Mathematical Physics",
issn = "1095-0761",
publisher = "International Press of Boston, Inc.",
number = "6",
}