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Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT

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arxiv 2005.03667 v2 pith:CHT3IMOE submitted 2020-05-07 hep-th gr-qc

Eliot Hijano , Dominik Neuenfeld This is my paper · ORCID
classification hep-thgr-qc
keywords flatbulklimitphotonsoftspacetheoremsfields
verification ladder T0 review T1 audit T2 compute T3 formal
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S-matrix elements in flat space can be obtained from a large AdS-radius limit of certain CFT correlators. We present a method for constructing CFT operators which create incoming and outgoing scattering states in flat space. This is done by taking the flat limit of bulk operator reconstruction techniques. Using this method, we obtain explicit expressions for incoming and outgoing U(1) gauge fields. Weinberg soft photon theorems then follow from Ward identites of conserved CFT currents. In four bulk dimensions, gauge fields on AdS can be quantized with standard and alternative boundary conditions. Changing the quantization scheme corresponds to the S-transformation of SL(2,Z) electric-magnetic duality in the bulk. This allows us to derive both, the electric and magnetic soft photon theorems in flat space from CFT physics.

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Cited by 3 Pith papers

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