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Spinor-Helicity Formalism for Massless Fields in AdS{}₄

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arxiv 1811.08438 v2 pith:N5IU24MU submitted 2018-11-20 hep-th

Spinor-Helicity Formalism for Massless Fields in AdS{}₄

Balakrishnan Nagaraj , Dmitry Ponomarev This is my paper
classification hep-th
keywords fieldsformalismmasslessspinor-helicityamplitudesflatspaceacting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this letter we suggest a natural spinor-helicity formalism for massless fields in AdS${}_4$. It is based on the standard realization of the AdS${}_4$ isometry algebra $so(3,2)$ in terms of differential operators acting on $sl(2,\mathbb{C})$ spinor variables. We start by deriving the AdS counterpart of plane waves in flat space and then use them to evaluate simple scattering amplitudes. Finally, based on symmetry arguments we classify all three-point amplitudes involving massless spinning fields. As in flat space, we find that the spinor-helicity formalism allows to construct additional consistent interactions compared to approaches employing Lorentz tensors.

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Cited by 4 Pith papers

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    Quartic Poincaré-closure in the light-front gauge classifies all one- and two-derivative chiral higher-spin theories in 4d and yields new finite-spectrum local theories and quasi-chiral families.

  3. Massless spinning fields on the Light-Front: quartic vertices and amplitudes

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    A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.

  4. Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II

    hep-th 2026-06 unverdicted novelty 4.0

    Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.