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arXiv · 1105.1772

Towards a holographic marginal Fermi liquid

Kristan Jensen·Shamit Kachru·Andreas Karch·Joseph Polchinski·Eva Silverstein
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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 $AdS_4 \times S^7/Z_k$ (for $N \gg 1, N \gg k^5$) or probe D2 branes in $AdS_4 \times CP^3$ (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.

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Kristan Jensen, Shamit Kachru, Andreas Karch, Joseph Polchinski, Eva Silverstein. 2011-05-09. Towards a holographic marginal Fermi liquid. https://doi.org/10.1103/physrevd.84.126002

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