A fiber approach to harmonic analysis of unfolded higher-spin field equations
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Publication:440495
DOI10.1088/1126-6708/2008/10/022zbMATH Open1245.81122arXiv0806.1942OpenAlexW2066778399MaRDI QIDQ440495
Author name not available (Why is that?)
Publication date: 18 August 2012
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0806.1942
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