Advances in Theoretical and Mathematical Physics

Volume 23 (2019)

Number 6

Covariance of the classical Brink–Schwarz superparticle

Pages: 1599 – 1630

DOI: https://dx.doi.org/10.4310/ATMP.2019.v23.n6.a4

Authors

Ezra Getzler (Department of Mathematics, Northwestern University, Evanston, Illinois, U.S.A.)

Sean Weinz Pohorence (Department of Mathematics, Northwestern University, Evanston, Illinois, U.S.A.)

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 $-1$.

Full Text (PDF format)

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