Towards a holographic marginal Fermi liquid

Abstract

We present an infinite class of 2+1 dimensional field theories which, after coupling to semi-holographic fermions, exhibit strange metallic behavior in a suitable large $N$ limit. These theories describe lattices of hypermultiplet defects interacting with parity-preserving supersymmetric Chern-Simons theories with $U(N)\times U(N)$ gauge groups at levels $\pm k$. They have dual gravitational descriptions in terms of lattices of probe M2 branes in $Ad{S}_4\times S^7/Z_k$ (for $N\gg 1,N\gg k^5$) or probe D2 branes in $Ad{S}_4\times C{P}^3$ (for $N\gg k\gg 1,N\ll k^5$). We discuss several challenges one faces in maintaining the success of these models at finite $N$, including backreaction of the probes in the gravity solutions and radiative corrections in the weakly coupled field theory limit.

9 pages, RevTeX; v2, minor corrections

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• Quantum Criticality in Heavy Fermion Metals
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