Abstract
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.
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Acknowledgments
We thank Adam Ball, Erin Crawley, Elizabeth Himwich, Y.T. Albert Law, Sruthi Narayanan, Atul Sharma, Adam Tropper, Hongbao Zhang, and especially Tianli Wang for useful conversations. JC is supported by a Junior Fellowship from the Harvard Society of Fellows. This work was supported in part by NSF grant PHY-2207659.
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Cotler, J., Miller, N. & Strominger, A. An integer basis for celestial amplitudes. J. High Energ. Phys. 2023, 192 (2023). https://doi.org/10.1007/JHEP08(2023)192
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DOI: https://doi.org/10.1007/JHEP08(2023)192