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.
A Note on Lie-Lorentz Derivatives
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abstract
The definition of ``Lie derivative'' of spinors with respect to Killing vectors is extended to all kinds of Lorentz tensors. This Lie-Lorentz derivative appears naturally in the commutator of two supersymmetry transformations generated by Killing spinors and vanishes for Vielbeins. It can be identified as the generator of the action of isometries on supergravity fields and its use for the calculation of supersymmetry algebras is revised and extended.
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Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.
A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases, illustrated on spherical, Gödel, de Sitter and other spacetimes.
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
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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.