Free Field Dynamics in the Generalized AdS (Super)Space
V.E. Didenko, M.A. Vasiliev
TL;DR
This paper develops a framework for describing free massless fields in generalized AdS superspaces using gauge representations and star product algebra, enabling explicit solutions and transformation laws for higher spin fields.
Contribution
It introduces a gauge-based formulation for vacuum backgrounds in generalized AdS superspaces and constructs explicit solutions for free massless fields within this framework.
Findings
Explicit gauge representation for vacuum backgrounds in generalized AdS superspace.
Formulation of dynamics and transformation laws for free massless and higher spin fields.
Construction of generic solutions to the field equations using star product realization.
Abstract
Pure gauge representation for general vacuum background fields (Cartan forms) in the generalized superspace identified with is found. This allows us to formulate dynamics of free massless fields in the generalized space-time and to find their (generalized) conformal and higher spin field transformation laws. Generic solution of the field equations is also constructed explicitly. The results are obtained with the aid of the star product realization of ortosymplectic superalgebras.
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