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arXiv · 1206.4719

Strange Metals in One Spatial Dimension

Rajesh Gopakumar·Akikazu Hashimoto·Igor R. Klebanov·Subir Sachdev·Kareljan Schoutens
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Abstract

We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The only global symmetry of this theory is a U(1) associated with the conserved Dirac fermion number, and we study the theory at variable, non-zero densities. The high density limit is characterized by a deconfined Fermi surface state with Fermi wavevector equal to that of free gauge-charged fermions. Its low energy fluctuations are described by a coset conformal field theory with central charge c=(N^2-1)/3 and an emergent N=(2,2) supersymmetry: the U(1) fermion number symmetry becomes an R-symmetry. We determine the exact scaling dimensions of the operators associated with Friedel oscillations and pairing correlations. For N>2, we find that the symmetries allow relevant perturbations to this state. We discuss aspects of the N->infty limit, and its possible dual description in AdS3 involving string theory or higher-spin gauge theory. We also discuss the low density limit of the theory by computing the low lying bound state spectrum of the large N gauge theory numerically at zero density, using discretized light cone quantization.

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Rajesh Gopakumar, Akikazu Hashimoto, Igor R. Klebanov, Subir Sachdev, Kareljan Schoutens. 2012-06-20. Strange Metals in One Spatial Dimension. https://doi.org/10.1103/physrevd.86.066003

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