Laughlin states and gauge theory

Nikita Nekrasov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Genus one Laughlin wavefunctions, describing the gas of interacting electrons on a two dimensional torus in the presence of a strong magnetic field, analytically continued in the filling fraction, are related to the partition functions of half-BPS surface defects in four dimensional N= 2 supersymmetric gauge theory.

Original languageEnglish
Pages (from-to)123-138
Number of pages16
JournalArnold Mathematical Journal
Issue number1
Publication statusPublished - 1 Mar 2019


  • Electrons
  • Fractional Hall effect
  • Instantons
  • Laughlin states
  • Many-body systems


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