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Scattering bound states in AdS

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arxiv 2204.13419 v2 pith:UHMQX2TO submitted 2022-04-28 hep-th

classification hep-th
keywords diagramsboundscatteringstatewittenamplitudesanalyzearbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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We initiate the study of bound state scattering in AdS space at the level of Witten diagrams. For concreteness, we focus on the case with only scalar fields and analyze several basic diagrams which more general diagrams reduce to. We obtain closed form expressions for their Mellin amplitudes with arbitrary conformal dimensions, which exhibit interesting behavior. In particular, we observe that certain tree-level bound state Witten diagrams have the same structure as loop diagrams in AdS.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dissecting supergraviton six-point function with lightcone limits and chiral algebra

    hep-th 2025-02 conditional novelty 7.0 of 10

    A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.

  2. Towards Large-Spin Effective Theory I: Three-Particle States in AdS $\phi^4$ Theory

    hep-th 2025-08 conditional novelty 6.0 of 10

    A regulated large-spin effective Hamiltonian with three-body phi exchange and local terms gives the O(lambda^2) anomalous dimension of [Phi, Phi^2]_J, including a log J / J^(2 Delta) correction.

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