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Résumé |
I will discuss the recently introduced holographic product formula in the context of near-extremal hydrodynamics, which corresponds to the regime of energy ω, momentum k and temperature T much smaller than a hard scale μ. I will explain how this formula determines the general form taken by holographic spectral functions in this regime. This form simplifies in the extremal limit T ≪ ω, k ≪ μ, for which the low-temperature gapless modes and the IR conformal behavior factorize. I will then present some examples with different types of gapless modes and IR CFTs, including new numerical results for low temperature quasi-normal modes. |