The Batalin-Vilkovisky cohomology of the spinning particle

Ezra Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Abstract: We show that the axiom of Felder and Kazhdan [4] on the vanishing of the cohomology groups in negative degree associated to solutions of the classical master equation in the Batalin-Vilkovisky formalism is violated by the spinning particle in a flat background coupled to D = 1 supergravity. In this model, there are nontrivial cohomology groups in all negative degrees, regardless of the dimension of the spacetime in which the spinning particle is propagating.

Original languageEnglish (US)
Article number17
JournalJournal of High Energy Physics
Volume2016
Issue number6
DOIs
StatePublished - Jun 1 2016

Keywords

  • BRST Quantization
  • Differential and Algebraic Geometry
  • Supergravity Models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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