Star-Product and Massless Free Field Dynamics in $AdS_4$
K.I.Bolotin, M.A.Vasiliev (Lebedev Physical Institute)
TL;DR
This paper constructs solutions for massless fields of any spin in AdS4 using star-product algebra, providing explicit plane wave solutions and advancing the understanding of higher-spin field dynamics in curved spacetime.
Contribution
It introduces a star-product algebra approach to solve for massless higher-spin fields in AdS4, including explicit plane wave solutions, which is a novel method in the field.
Findings
Explicit solutions for massless fields of arbitrary spin in AdS4
Development of a star-product algebra framework for higher-spin fields
Description of a class of explicit plane wave solutions
Abstract
Generic solution of free equations for massless fields of an arbitrary spin in is built in terms of the star-product algebra with spinor generating elements. A class of "plane wave" solutions is described explicitly.
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