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Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere · Around

2016

Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere

Pasterski, Sabrina, Shao, Shu-Heng, Strominger, Andrew

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The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified.

Consequent similarities of 4D flat space amplitudes and 2D correlators on the conformal sphere are obscured by the fact that the former are usually expressed in terms of asymptotic wavefunctions which transform simply under spacetime translations rather than the Lorentz $SL(2,\mathbb{C})$.
In this paper we construct on-shell massive scalar wavefunctions in 4D Minkowski space that transform as $SL(2,\mathbb{C})$ conformal primaries.
Scattering amplitudes of these wavefunctions are $SL(2,\mathbb{C})$ covariant by construction.

Built on

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2014

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2015

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2015

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2016

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