A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.
Unified BRST description of AdS gauge fields
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A concise formulation for mixed-symmetry gauge fields on AdS space is proposed. It is explicitly local, gauge invariant, and has manifest AdS symmetry. Various other known formulations (including the original formulation of Metsaev and the unfolded formulation) can be derived through the appropriate reductions and gauge fixing. As a byproduct, we also identify some new useful formulations of the theory that can be interesting for further developments. The formulation is presented in the BRST terms and extensively uses Howe duality. In particular, the BRST operator is a sum of the term associated to the spacetime isometry algebra and the term associated to the Howe dual symplectic algebra.
fields
hep-th 3years
2026 3representative citing papers
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
citing papers explorer
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BRST-BV approach to fields in Poincare patch of AdS
A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.
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Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
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De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.