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Flat-space structure of gluon and graviton in AdS
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We report the differential representation of three-point and four-point amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with reordering, which makes the differential double copy relation at the three-point level straightforward. For four-point Yang-Mills amplitudes, we establish the differential BCJ relation, which can be useful for proving the differential doubly copy at the four-point level in the future.
Forward citations
Cited by 3 Pith papers
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Gleaning gravitational amplitudes -- a double copy for canceling dilatons
An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.
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Differential Representation for Carrollian Correlators
Scalar Carrollian correlators admit a differential representation in which exchange diagrams are obtained from contact diagrams by commuting translation operators, matching the modified Mellin transform of flat-space ...
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Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Li\'enard-Wiechert fields
Flat-space S-matrix elements and Liénard-Wiechert antipodal matching are shown to arise from AdS geodesics that hit the AdS conformal boundary at specific global times.
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