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On the applicability of holography in thermodynamic equilibrium

05/10 2022 Seminar
  • Title On the applicability of holography in thermodynamic equilibrium
  • Speaker Run-Qiu Yang (Tianjin University)
  • Date 2022年05月10日 10:30
  • Venue Join Zoom Meeting Meeting ID: 849 4510 2376 Passcode: 198287
  • Abstract

    For a strongly coupled system that has a gravity dual description, we show that the standard holographic dictionary yields a nonnegative susceptibility when the system is in thermodynamic equilibrium.  When the system has no spontaneous condensation or has a spontaneous $\mathbb{Z}_2$-symmetry breaking, we find that the ``trace energy condition'' is violated in many cases (see Eq.~\eqref{tracebk}). There is a normalized grand potential density that is monotonic as accessing to lower scales, providing a candidate $c$-function characterizing the number of effective degrees of freedom.  Moreover, we find that  some extensively discussed  holography models in the literature are not consistent with holography due to negative susceptibility. 





    Contact联系人  王少江