A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
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.
Keywords
Cite
@article{arxiv.0806.1942,
title = {A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations},
author = {Carlo Iazeolla and Per Sundell},
journal= {arXiv preprint arXiv:0806.1942},
year = {2009}
}
Comments
80 pages, 2 figures. Minor changes: typos corrected, two footnotes and references added. To be published in JHEP