Horizon constraints on holographic Green's functions

@inproceedings{Blake2019HorizonCO,
  title={Horizon constraints on holographic Green's functions},
  author={Mike Blake and Richard A. Davison and David C. Vegh},
  year={2019}
}
We explore a new class of general properties of thermal holographic Green's functions that can be deduced from the near-horizon behaviour of classical perturbations in asymptotically anti-de Sitter spacetimes. We show that at negative imaginary Matsubara frequencies and appropriate complex values of the wavenumber the retarded Green's functions of generic operators are not uniquely defined, due to the lack of a unique ingoing solution for the bulk perturbations. From a boundary perspective… CONTINUE READING

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