Towards strange metallic holography

  • Sean A. HartnollEmail author
  • Joseph Polchinski
  • Eva Silverstein
  • David Tong
Open Access


We initiate a holographic model building approach to `strange metallic' phenomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by D-branes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the non-Fermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group ow in Lifshitz theories, such as the appearance of relevant charge-charge interactions when z ≥ 2. We outline a program to extend this model building approach to other anomalous observables of interest such as the Hall conductivity.


AdS-CFT Correspondence Space-Time Symmetries 


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Authors and Affiliations

  • Sean A. Hartnoll
    • 1
    • 2
    Email author
  • Joseph Polchinski
    • 2
  • Eva Silverstein
    • 2
  • David Tong
    • 2
    • 3
  1. 1.Department of PhysicsHarvard UniversityCambridgeU.S.A.
  2. 2.Kavli Institute for Theoretical Physics and Department of PhysicsUniversity of CaliforniaSanta BarbaraU.S.A.
  3. 3.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeU.K.

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