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.

Creator

• Pohorence, Sean Weinz

DOI

• https://doi.org/10.21985/n2-4qwx-s136

Subject

• Mathematics
• Theoretical physics

Language

• en

Alternate Identifier

• etdadmin_upload_662424
• http://dissertations.umi.com/northwestern:14639

Keyword

• covariance
• superstring
• gauge theory
• quantization
• supersymmetry

Date created

• 2019-01-01

Resource type

• Dissertation

Rights statement

• In Copyright