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Twistor methods for AdS$_5$

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arxiv 1607.03763 v2 pith:KVCSF45E submitted 2016-07-13 hep-th

Tim Adamo , David Skinner , Jack Williams This is my paper
classification hep-th
keywords twistorspaceboundarybulkbulk-to-boundaryfreepropagatorsaction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is reviewed for both the bulk and boundary. A Penrose transform allows us to describe free bulk fields, with or without mass, in terms of data on twistor space. Explicit representatives for the bulk-to-boundary propagators of scalars and spinors are constructed, along with twistor action functionals for the free theories. Evaluating these twistor actions on bulk-to-boundary propagators is shown to produce the correct two-point functions.

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Cited by 3 Pith papers

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

  1. 4d CFT Correlators from Ambitwistors

    hep-th 2026-06 conditional novelty 7.0 of 10

    Conserved spinning two- and three-point correlators in 4d CFTs are obtained from holomorphic contour integrals on ambitwistor space, with spin, parity, and even a conformally coupled scalar treated uniformly.

  2. Remarks on Associated Varieties and Minimal Tension Holography

    hep-th 2025-07 conditional novelty 5.0 of 10

    The associated variety of the psl(2|2) vertex algebra is identified with the cotangent bundle of the twistor space of the AdS3 boundary, and a new quotient-free free field realization of V1(psl(4|4)) is written down.

  3. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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