<p>We develop a twistor-space framework to compute boundary correlators via a boundary limit of nested Penrose transforms in (A)dS<sub>4</sub>. Starting from correlators of (anti-)self-dual bulk fields, the boundary limit reproduces the correlators of the dual conserved currents; we demonstrate this explicitly for two- and three-point functions. The two-point correlator is rendered finite by working in Euclidean signature. At three points, we obtain compact rational twistor-space representatives obeying a double-copy relation, thereby clarifying the twistor-space origin of the results in <a href="https://arxiv.org/abs/2408.02727">https://arxiv.org/abs/2408.02727</a>. We further extend the analysis to non-conserved currents with integer conformal dimension, dual to massive bulk fields, as well as to the free scalar.</p>

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Spinning boundary correlators from (A)dS4 twistors

  • Mariana Carrillo González,
  • Théo Keseman

摘要

We develop a twistor-space framework to compute boundary correlators via a boundary limit of nested Penrose transforms in (A)dS4. Starting from correlators of (anti-)self-dual bulk fields, the boundary limit reproduces the correlators of the dual conserved currents; we demonstrate this explicitly for two- and three-point functions. The two-point correlator is rendered finite by working in Euclidean signature. At three points, we obtain compact rational twistor-space representatives obeying a double-copy relation, thereby clarifying the twistor-space origin of the results in https://arxiv.org/abs/2408.02727. We further extend the analysis to non-conserved currents with integer conformal dimension, dual to massive bulk fields, as well as to the free scalar.