The Brink–Schwarz Superparticle in the Batalin–Vilkovisky FormalismPublic
The Brink-Schwarz superparticle is a one-dimensional analogue of the Green-Schwarz superstring. In this thesis, we use the Batalin-Vilkovisky formalism to study the superparticle. After proving a vanishing result for its Batalin-Vilkovisky cohomology, we explain the sense in which the superparticle exhibits general covariance in the world-line. Using techniques from rational homotopy theory, we then show how to patch local choices of the light-cone gauge condition together, and define the path integral in this setting.
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