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An Integer Basis for Celestial Amplitudes
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We present a discrete basis of solutions of the massless Klein-Gordon equation in 3+1 Minkowski space which transform as sl(2,C) Lorentz/conformal primaries and descendants, and whose elements all have integer conformal dimension. We show that the basis is complete in the sense that the Wightman function can be expressed as a quadratic sum over the basis elements.
Forward citations
Cited by 2 Pith papers
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Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT
The Carrollian limit of CFT3 operator products yields towers of sl(2,C) blocks that reproduce conformally soft photon and graviton theorems and the S and w1+∞ celestial symmetry algebras.
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Shadow Celestial Operator Product Expansions
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.
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