Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Abstract

We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the abelian Higgs model but now including fermionic fields, we see many dynamical phenomena conjectured to be of relevance in condensed matter systems. In particular, we find examples of the emergence of a Fermi surface at low energies from hybridization of fermions localized at magnetic defects at high energies, as well as fractionalization of charged fermions into spinon-holon pairs with the concomitant appearance of emergent gauge fields. We also find dual descriptions for Fermi surfaces coupled to critical bosons, which give rise to non-Fermi liquids.

30 pages, 7 figures. v2: typos corrected and references added. Version to appear in JHEP

References in corpus (6)

• Critical fermi surfaces and non-fermi liquid metals
• Emergence of supersymmetry at a critical point of a lattice model
• D-wave correlated Critical Bose Liquids in two dimensions
• Non-Fermi liquid behavior of large N_B quantum critical metals
• Quantum superconducting criticality in graphene and topological insulators
• A controlled expansion for certain non-Fermi liquid metals

Cited by in corpus (8)

• Is the Composite Fermion a Dirac Particle?
• Nonsupersymmetric dualities from mirror symmetry
• Emergence of supersymmetric quantum electrodynamics
• Mirror symmetry and the half-filled Landau level
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry
• On S-duality for holographic p-wave superconductors