Higher Spin Symmetries, Star-Product and Relativistic Equations in AdS Space
M.A.Vasiliev (Lebedev Physical Institute)

TL;DR
This paper explores the structure of higher spin gauge theories in AdS4, emphasizing the role of star-products, symmetries, and locality, and provides a comprehensive list of conserved currents in flat space.
Contribution
It clarifies the connection between star-product formulations, higher spin symmetries, and spacetime locality in AdS4, and catalogs conserved currents in arbitrary flat spaces.
Findings
Star-product formalism underpins higher spin symmetries in AdS4.
A complete list of conserved higher spin currents in flat space is provided.
Insights into the relationship between higher spin gauge fields and spacetime geometry.
Abstract
We discuss general properties of the theory of higher spin gauge fields in focusing on the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality. A full list of conserved higher spin currents in the flat space of arbitrary dimension is presented.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Cosmology and Gravitation Theories
