A fiber approach to harmonic analysis of unfolded higher-spin field equations

C. Iazeolla, P. Sundell

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

In Vasiliev's unfolded formulation of higher-spin dynamics the standard fields are embedded on-shell into covariantly constant master fields valued in Lorentz-covariant slices of the star-product algebra A of functions on the singleton phase space. Correspondingly, the harmonic expansion is taken over compact slices of A that are unitarizable in a rescaled trace-norm rather than the standard Killing norm. Motivated by the higher-derivative nature of the theory, we examine indecomposable unitarizable Harish-Chandra modules consisting of standard massless particles plus linearized runaway solutions. This extension arises naturally in the above fiber approach upon realizing compact-weight states as non-polynomial analytic functions in A.

Original languageEnglish
Article number022
JournalJournal of High Energy Physics
Volume2008
Issue number10
DOIs
Publication statusPublished - 1 Oct 2008

Fingerprint

harmonic analysis
norms
fibers
analytic functions
spin dynamics
algebra
modules
harmonics
formulations
stars
expansion
products

Keywords

  • Field theories in higher dimensions
  • Gauge symmetry
  • Space-time symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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A fiber approach to harmonic analysis of unfolded higher-spin field equations. / Iazeolla, C.; Sundell, P.

In: Journal of High Energy Physics, Vol. 2008, No. 10, 022, 01.10.2008.

Research output: Contribution to journalArticle

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