# Strange Metals in One Spatial Dimension

 Title: Strange Metals in One Spatial Dimension Author: Gopakumar, Rajesh; Hashimoto, Akikazu; Klebanov, Igor R.; Sachdev, Subir; Schoutens, Kareljan Note: Order does not necessarily reflect citation order of authors. Citation: Gopakumar, Rajesh, Akikazu Hashimoto, Igor R. Klebanov, Subir Sachdev, and Kareljan Schoutens. 2012. Strange metals in one spatial dimension. Physical Review D 86(6): 066003. Full Text & Related Files: 73426908.pdf (1.075Mb; PDF) 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, nonzero densities. The high density limit is characterized by a deconfined Fermi surface state with Fermi wave vector 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→∞ limit, and its possible dual description in AdS$$_3$$ 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. Published Version: doi:10.1103/PhysRevD.86.066003 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10859965 Downloads of this work: