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arXiv 1105.1772hep-thcond-mat.str-el
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全息边缘费米液体

Towards a holographic marginal Fermi liquid

Kristan Jensen, Shamit Kachru, Andreas Karch, Joseph Polchinski, Eva Silverstein

摘要:

我们提出了一个无限大的2+1维场论,耦合到半全息费米子后,在适当的大$N$限制,表现出奇怪的金属行为。这些理论描述了超多重态缺陷与宇称保持超对称陈-西蒙斯理论在$\pm k$水平上与$U(N) \times U(N)$规范群相互作用的晶格。它们具有双重引力描述,用$AdS_4 \times S^7/Z_k$中的探测M2膜(对于$N \gg 1, N \gg k^5$)或$AdS_4 \times CP^3$中的探测D2膜(对于$N \gg k \gg 1, N \ll k^5$)的格来表示。我们讨论了几个挑战,在有限的$N$,包括在弱耦合场论限制的重力解决方案和辐射校正的探针的成功保持这些模型面临的。

英文摘要:

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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