Strange Metals in One Spatial Dimension

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.

40 pages, 4 figures

References in corpus (68)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Entanglement Entropy and Quantum Field Theory
• Geometric and Renormalized Entropy in Conformal Field Theory
• AdS Dual of the Critical O(N) Vector Model
• Holography from Conformal Field Theory
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• The D1/D5 System And Singular CFT
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• W-symmetry in Conformal Field Theory
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-Fermi liquids from holography
• Applied Conformal Field Theory
• Fractionalized Fermi liquids
• An AdS_3 Dual for Minimal Model CFTs
• Towards strange metallic holography
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Holographic metals and the fractionalized Fermi liquid
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Holography of Charged Dilaton Black Holes
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Stringy gravity, interacting tensionless strings and massless higher spins
• Holographic Fermi Surfaces and Entanglement Entropy
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Semi-Holographic Fermi Liquids
• Triality in Minimal Model Holography
• Screening vs. Confinement in 1+1 Dimensions
• Non-perturbative approach to Luttinger's theorem in one dimension
• Electron stars for holographic metallic criticality
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• Instanton Strings and HyperKaehler Geometry
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Quantum oscillations and black hole ringing
• Zero Sound from Holography
• Semi-local quantum liquids
• Holographic Entanglement Entropy and Fermi Surfaces
• Bosonization and QCD in Two Dimensions
• Stellar spectroscopy: Fermions and holographic Lifshitz criticality
• Fermi surfaces and gauge-gravity duality
• Universality in Two Dimensional Gauge Theory.
• The Classification of Affine SU(3) Modular Invariant Partition Functions
• A model of a Fermi liquid using gauge-gravity duality
• Holographic metals at finite temperature
• A controlled expansion for certain non-Fermi liquid metals
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• Non-Fermi Liquid Effects in QCD at High Density
• Emergent Quantum Near-Criticality from Baryonic Black Branes
• Holographically smeared Fermi surface: Quantum oscillations and Luttinger count in electron stars
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• Holographic quantum criticality and strange metal transport
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Fermi surfaces in maximal gauged supergravity
• A quantum electron star
• Singular order parameter interaction at nematic quantum critical point in two dimensional electron systems
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals
• On the complete classification of the unitary N=2 minimal superconformal field theories
• Black Hole Thermodynamics and Heavy Fermion Metals
• Friedel Oscillations in Holographic Metals
• Neutral Order Parameters in Metallic Criticality in d=2+1 from a Hairy Electron Star
• Low Energy Dynamics in Ultradegenerate QCD Matter
• The W_N minimal model classification

Cited by in corpus (29)

• Minimal Model Holography
• Symmetries and Strings of Adjoint QCD${}_2$
• Higher Spins & Strings
• Large N=4 Holography
• Higher spin AdS_3 holography with extended supersymmetry
• Exact Symmetries and Threshold States in Two-Dimensional Models for QCD
• Fermi surfaces in N=4 Super-Yang-Mills theory
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Compressible quantum phases from conformal field theories in 2+1 dimensions
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• Fermi surface behavior in the ABJM M2-brane theory
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Minding the Gap in N=4 Super-Yang-Mills
• Towards finding the single-particle content of two-dimensional adjoint QCD
• Chiral Primaries in Strange Metals
• Symmetry-protected topological phases in the SU(N) Heisenberg spin chain: a Majorana-fermion approach
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• On a harmonic solution for two-dimensional adjoint QCD
• Chiral 2D "Strange Metals" from N = 4 SYM
• Higher Spin Currents in the Orthogonal Coset Theory
• Symmetry Algebras of Stringy Cosets
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Chiral Ring of Strange Metals: The Multicolor Limit
• Fermionic Construction in the Supersymmetric Coset Model