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On the covariant quantization of a first-class superparticle

  • U. Lindström
  • , M. Roček
  • , W. Siegel
  • , P. Van Nieuwenhuizen
  • , A. E. Van De Ven
  • Stockholm University
  • Stony Brook University
  • New York University

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The Batalin-Vilkovisky formalism is used to quantize covariantly a formulation of the superparticle with only first-class constraints. Towers of ghosts are found that split into ghosts-for-ghosts and ghost gauge fields. Subsolutions to the master equation with spinor and bispinor ghosts contain terms cubic in antifields and lead to free gauge-fixed BRST-invariant actions. The final formulation with multispinor ghosts is nilpotent only on the classical shell.

Original languageEnglish
Pages (from-to)1761-1769
Number of pages9
JournalJournal of Mathematical Physics
Volume31
Issue number7
DOIs
StatePublished - 1990

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