Laughlin states and gauge theory

Nikita Nekrasov

doi:10.1007/s40598-019-00113-y

Laughlin states and gauge theory

Nikita Nekrasov

Simons Center for Geometry & Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 language	English
Pages (from-to)	123-138
Number of pages	16
Journal	Arnold Mathematical Journal
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/s40598-019-00113-y
State	Published - Mar 1 2019

Keywords

Electrons
Fractional Hall effect
Instantons
Laughlin states
Many-body systems

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10.1007/s40598-019-00113-y

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title = "Laughlin states and gauge theory",

abstract = "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.",

keywords = "Electrons, Fractional Hall effect, Instantons, Laughlin states, Many-body systems",

author = "Nikita Nekrasov",

note = "Publisher Copyright: {\textcopyright} 2019, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.",

year = "2019",

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doi = "10.1007/s40598-019-00113-y",

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KW - Electrons

KW - Fractional Hall effect

KW - Instantons

KW - Laughlin states

KW - Many-body systems

UR - https://www.scopus.com/pages/publications/85067241178

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DO - 10.1007/s40598-019-00113-y

M3 - Article

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Laughlin states and gauge theory

Abstract

Keywords

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