PIRSA:11110080

The Fluid/Gravity Correspondence, Quantum Anomalies and a Generalized Entropy Current

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}}
          }

Yasha Neiman Okinawa Institute of Science and Technology Graduate University

Talk numberPIRSA:11110080
DOI10.48660/11110080
Collection
Talk Type Scientific Series
Subject

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.