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$(2,2)$ Scattering and the Celestial Torus

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arxiv 2101.09591 v1 pith:VK44YK5N submitted 2021-01-23 hep-th

Alexander Atanasov , Adam Ball , Walker Melton , Ana-Maria Raclariu , Andrew Strominger This is my paper · ORCID
classification hep-th
keywords scatteringcelestialinfinityconformalcontinuationintervalmathbbnull
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abstract

Analytic continuation from Minkowski space to $(2,2)$ split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under this continuation, null infinity becomes the product of a null interval with a celestial torus (replacing the celestial sphere) and has only one connected component. Spacelike and timelike infinity are time-periodic quotients of AdS$_3$. These three components of infinity combine to an $S^3$ represented as a toric fibration over the interval. Privileged scattering states of scalars organize into $SL(2,\mathbb{R})_L \times SL(2,\mathbb{R})_R$ conformal primary wave functions and their descendants with real integral or half-integral conformal weights, giving the normally continuous scattering problem a discrete character.

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Forward citations

Cited by 3 Pith papers

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

  1. Celestial Quantum Error Correction II: From Qudits to Celestial CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    A GKP-style qudit code on a chain embedded in Klein spacetime is shown to flow, in the continuum limit, to a celestial CFT whose logical states carry quantized supertranslation hair protected from soft graviton errors.

  2. Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

    gr-qc 2025-07 reject novelty 5.0 of 10

    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  3. Modular Flow of Celestial Conformal Field Theory

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    The work introduces vector flow and modular flows in celestial field theory and Klein CFTs and examines their structures in Lifshitz and exotic field theories.

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