Hidden Conformal Symmetry in Tree-Level Graviton Scattering

Abstract

We argue that the scattering of gravitons in ordinary Einstein gravity possesses a hidden conformal symmetry at tree level in any number of dimensions. The presence of this conformal symmetry is indicated by the dilaton soft theorem in string theory, and it is reminiscent of the conformal invariance of gluon tree-level amplitudes in four dimensions. To motivate the underlying prescription, we demonstrate that formulating the conformal symmetry of gluon amplitudes in terms of momenta and polarization vectors requires manifest reversal and cyclic symmetry. Similarly, our formulation of the conformal symmetry of graviton amplitudes relies on a manifestly permutation symmetric form of the amplitude function.

35 pages, 3 figures

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• Scattering Amplitudes from Soft Theorems and Infrared Behavior
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• Relativistic partial waves for celestial amplitudes
• Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
• Scale vs. Conformal Invariance at the IR Fixed Point of Quantum Gravity
• Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String
• Soft Theorems from Compactification
• Hidden Conformal Invariance of Scalar Effective Field Theories
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• Scattering amplitude annihilators
• Soft-Theorems for Scalar Particles: The Dilatons Story