Mixed-symmetry massive fields in AdS(5)
R. R. Metsaev
TL;DR
The paper develops a comprehensive light-cone gauge formulation for free mixed-symmetry massive fields in AdS$_5$, treating bosonic and fermionic sectors on equal footing. It constructs explicit light-cone actions with a novel AdS mass operator $A$ and a spin operator $B^I$, and provides oscillator-based realizations that unify the description across two-row Young tableaux. By solving for $B^I$ and employing auxiliary oscillators to consolidate spin degrees of freedom, the work derives consistent representations, analyzes global $SO(4,2)$ symmetries, and examines crucial limits: massless, self-dual massive, and flat-space. The results connect AdS$_5$ fields to their flat-space counterparts, clarify DoF counts, and set the stage for AdS/CFT applications and potential extensions to AdS$_5\times S^5$ and quantum treatments. Overall, it advances the field by delivering a tractable, symmetry-consistent framework for mixed-symmetry higher-spin fields in AdS$_5$ with explicit actions and limiting behaviors.
Abstract
Free mixed-symmetry arbitrary spin massive bosonic and fermionic fields propagating in AdS(5) are investigated. Using the light-cone formulation of relativistic dynamics we study bosonic and fermionic fields on an equal footing. Light-cone gauge actions for such fields are constructed. Various limits of the actions are discussed.