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Conformal basis for flat space amplitudes

Conformal basis for flat space amplitudes

We study solutions of the Klein-Gordon, Maxwell, and linearized Einstein equations in ${\mathbb{R}}^{1,d+1}$ that transform as $d$-dimensional conformal primaries under the Lorentz group $SO(1,d+1)$. Such solutions, called conformal primary wavefunctions, are labeled by a conformal dimension $\mathrm{\ensuremath{\Delta}}$ and a point in ${\mathbb{R}}^{d}$, rather than an on-shell ($d+2$)-dimensional momentum. We show …