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Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence

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arxiv hep-th/9906217 v3 pith:RFXDLZVU submitted 1999-06-28 hep-th

classification hep-th
keywords algebrafieldlight-coneanti-deboundarybulksitterconformal
verification ladder T0 review T1 audit T2 compute T3 formal

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Light-cone form of field dynamics in anti-de Sitter space-time is developed. Using field theoretic and group theoretic approaches the light-cone representation for generators of anti-de Sitter algebra acting as differential operators on bulk fields is found. We also present light-cone reformulation of the boundary conformal field theory representations. Making use of these explicit representations of AdS algebra as isometry algebra in the bulk and the algebra of conformal transformations at the boundary a precise correspondence between the bulk fields and the boundary operators is established.

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Cited by 3 Pith papers

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  1. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 conditional novelty 6.5 of 10

    A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.

  2. Three-dimensional non-relativistic chiral massive higher-spin gravity

    hep-th 2025-11 conditional novelty 6.0 of 10

    A non-relativistic massive higher-spin gravity in deformed AdS₃ is constructed by Lifshitz-deforming and null-reducing chiral massless higher-spin gravity; under an assumed mass-spin relation its cubic couplings vanis...

  3. Light-cone vector superspace and continuous-spin field in AdS

    hep-th 2025-07 unverdicted novelty 6.0 of 10

    Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.

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