Derives general BRST-BV Lagrangian for free fields in Poincare AdS, develops constrained and unconstrained versions for massless/massive/partially-massless and continuous-spin fields, and matches to metric-like formulation.
Unified BRST description of AdS gauge fields
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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 2years
2026 2verdicts
UNVERDICTED 2representative 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.
citing papers explorer
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BRST-BV approach to fields in Poincare patch of AdS
Derives general BRST-BV Lagrangian for free fields in Poincare AdS, develops constrained and unconstrained versions for massless/massive/partially-massless and continuous-spin fields, and matches to metric-like formulation.
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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.