Advances in Theoretical and Mathematical Physics
Volume 23 (2019)
Covariance of the classical Brink–Schwarz superparticle
Pages: 1599 – 1630
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 $-1$.
The first author’s research was 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.”
The second author’s research was supported in part by the National Science Foundation grant “RTG: Analysis on manifolds” at Northwestern University.
Published 20 March 2020