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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
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.
