PIRSA:11110080 Scientific Series Quantum Fields and Strings

DOI10.48660/11110080

Series: Quantum Gravity

Neiman, Y. (2011). The Fluid/Gravity Correspondence, Quantum Anomalies and a Generalized Entropy Current. Perimeter Institute. https://pirsa.org/11110080

Neiman, Yasha. The Fluid/Gravity Correspondence, Quantum Anomalies and a Generalized Entropy Current. Perimeter Institute, Nov. 01, 2011, https://pirsa.org/11110080 

@misc{ pirsa_PIRSA:11110080,
  doi = {10.48660/11110080},
  url = {https://pirsa.org/11110080},
  author = {Neiman, Yasha},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {The Fluid/Gravity Correspondence, Quantum Anomalies and a Generalized Entropy Current},
  publisher = {Perimeter Institute},
  year = {2011},
  month = {nov},
  note = {PIRSA:11110080 see, \url{https://pirsa.org}}
}

Abstract

The fluid/gravity correspondence relates hydrodynamic flows in D spacetime dimensions to black hole dynamics in D+1 dimensions. It is an extension of black hole thermodynamics, where charges are upgraded into local currents, and the Bekenstein-Hawking entropy - into a local entropy current. I will propose a definition for a generalized local current of Wald entropy relevant to higher-curvature gravity. As an example, I will consider 5d gravity with a U(1) gauge field and a gravitational Chern-Simons term. This corresponds to a charged fluid in 4d spacetime, whose charge current has a gravitational anomaly. I will discuss the effects of this anomaly on the generalized entropy curent and the flow equations.

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