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Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED
High Energy Physics - Theory · Submitted 7 Jan 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. | contribution 0.88 | 0.83 | 0.03 | asserted 0.69 |
| s1 | 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. | method 0.95 | 0.65 | 0.10 | asserted 0.88 |
| s2 | 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. | result 1.00 | 0.94 | 0.51 | asserted 1.00 |
| s3 | We also find dual descriptions for Fermi surfaces coupled to critical bosons, which give rise to non-Fermi liquids. | result 0.98 | 0.91 | 0.20 | asserted 1.00 |
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The paper
Original 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.
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References
How the literature uses it
7 arXiv papers cite this in 11 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 2 papers
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More details of the duality, with possible other applications to phenomena in condensed matter physics, were recently reviewed in [ref] (building on earlier work of [ref] , which also explored connections to modern ideas in condensed matter physics).
Mirror symmetry and the half-filled Landau level · Mirror symmetry · 0.88
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This has been used to study impurities [ref] , non-Fermi liquids [ref] and the physics of the lowest Landau level [ref] .
The Quantum Hall Effect in Supersymmetric Chern-Simons Theories · Future Directions · 0.88
What it cites · 15 sentences without a confident label
Cites as support 1 paper
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It provides a strongly coupled but fully calculable example supporting the conjecture of [ref] that systems with a chemical potential for a global $U(1)$ symmetry, where the symmetry and translations are unbroken, have Fermi surfaces.
Fermi surfaces and gauge-gravity duality · Emergent Fermi surface in the magnetic description · 0.97
Cites as background 8 papers
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The notation for all the fields here is the same as in [ref] .
Supersymmetric Defect Models and Mirror Symmetry · The electric description · 0.84
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Very similar systems have been analyzed in detail, with differing assumptions, in the recent works [ref] .
Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order · Comments on infrared dynamics · 0.85
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Very similar systems have been analyzed in detail, with differing assumptions, in the recent works [ref] .
A controlled expansion for certain non-Fermi liquid metals · Comments on infrared dynamics · 0.85
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