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Revisiting the Shadow Stress Tensor in Celestial CFT

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arxiv 2212.00257 v1 pith:IVZQH27Y submitted 2022-12-01 hep-th

classification hep-th
keywords softcelestialbasisbeyondconformallydoubleobstructionshadow
verification ladder T0 review T1 audit T2 compute T3 formal

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We revisit the standard construction of the celestial stress tensor as a shadow of the subleading conformally soft graviton. In its original formulation there is an obstruction to reproducing the expected TT OPE in the double soft limit. We propose a modification to the definition which circumvents this obstruction and then extend this change of basis beyond the conformally soft and single helicity sectors. In the process we investigate how (non)-commutativity of double soft limits is tied to the decoupling of primary descendants, and how our choice of celestial basis determines which symmetries are manifest at the level of the OPE beyond the MHV sector.

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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. Light and Shadow OPEs: A Carroll Symmetric Approach to Flat Holography

    hep-th 2025-06 conditional novelty 7.0 of 10

    Translation symmetry alone fixes the scaling dimension and leading OPE coefficient for light-transformed Carrollian primaries, matching known graviton, gluon, and Einstein-Yang-Mills results.

  2. Shadow Celestial Operator Product Expansions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Shadowing a celestial primary multiplies its OPE coefficients by a fixed ratio of Gamma functions, universal across theories and applicable to three-point functions with mixed ordinary and shadow operators.

  3. 2d theory for asymptotic dynamics of 4d (self-dual) Einstein gravity

    hep-th 2024-12 conditional novelty 4.0 of 10

    A 2d chiral action on the momentum-space celestial sphere is shown to reproduce BMS and w1+∞ symmetries, stress tensors, and soft dressing of 4d self-dual gravity.

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