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Title: Monopole operators in U(1) Chern-Simons-matter theories

Abstract

We report on monopole operators at the infrared fixed points of U(1) Chern-Simons-matter theories (QED3, scalar QED3, $$\mathcal{N}$$=1 SQED3, and $$\mathcal{N}$$=2 SQED3) with N matter flavors and Chern-Simons level k. We work in the limit where both N and k are taken to be large with κ = k/N fixed. In this limit, we extract information about the low-lying spectrum of monopole operators from evaluating the S2 × S1 partition function in the sector where the S2 is threaded by magnetic flux 4πq. At leading order in N, we find a large number of monopole operators with equal scaling dimensions and a wide range of spins and flavor symmetry irreducible representations. In two simple cases, we deduce how the degeneracy in the scaling dimensions is broken by the 1/N corrections. For QED3 at κ = 0, we provide conformal bootstrap evidence that this near-degeneracy is in fact maintained to small values of N. For $$\mathcal{N}$$=2 SQED3, we discover that the lowest dimension monopole operator is generically non-BPS.

Authors:
 [1];  [1];  [2];  [1]
+ Show Author Affiliations
  1. Princeton Univ., NJ (United States)
  2. State Univ. of New York (SUNY), Stony Brook, NY (United States). Simons Center for Geometry and Physics; Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1512425
Grant/Contract Number:  
SC0016244
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Solitons Monopoles and Instantons

Citation Formats

Chester, Shai M., Iliesiu, Luca V., Mezei, Márk, and Pufu, Silviu S. Monopole operators in U(1) Chern-Simons-matter theories. United States: N. p., 2018. Web. doi:10.1007/jhep05(2018)157.
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Chester, Shai M., Iliesiu, Luca V., Mezei, Márk, & Pufu, Silviu S. Monopole operators in U(1) Chern-Simons-matter theories. United States. https://doi.org/10.1007/jhep05(2018)157
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Chester, Shai M., Iliesiu, Luca V., Mezei, Márk, and Pufu, Silviu S. Thu . "Monopole operators in U(1) Chern-Simons-matter theories". United States. https://doi.org/10.1007/jhep05(2018)157. https://www.osti.gov/servlets/purl/1512425.
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@article{osti_1512425,
title = {Monopole operators in U(1) Chern-Simons-matter theories},
author = {Chester, Shai M. and Iliesiu, Luca V. and Mezei, Márk and Pufu, Silviu S.},
abstractNote = {We report on monopole operators at the infrared fixed points of U(1) Chern-Simons-matter theories (QED3, scalar QED3, $\mathcal{N}$=1 SQED3, and $\mathcal{N}$=2 SQED3) with N matter flavors and Chern-Simons level k. We work in the limit where both N and k are taken to be large with κ = k/N fixed. In this limit, we extract information about the low-lying spectrum of monopole operators from evaluating the S2 × S1 partition function in the sector where the S2 is threaded by magnetic flux 4πq. At leading order in N, we find a large number of monopole operators with equal scaling dimensions and a wide range of spins and flavor symmetry irreducible representations. In two simple cases, we deduce how the degeneracy in the scaling dimensions is broken by the 1/N corrections. For QED3 at κ = 0, we provide conformal bootstrap evidence that this near-degeneracy is in fact maintained to small values of N. For $\mathcal{N}$=2 SQED3, we discover that the lowest dimension monopole operator is generically non-BPS.},
doi = {10.1007/jhep05(2018)157},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {Thu May 24 00:00:00 EDT 2018},
month = {Thu May 24 00:00:00 EDT 2018}
}
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Journal Article:
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https://doi.org/10.1007/jhep05(2018)157
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Cited by: 23 works
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Figures / Tables:

Figure 1 Figure 1: The Landau level $\tilde{j}$ and the filling fraction $ξ_\tilde{j }$ for $q$ = 1/2 as a function of $κ$ = $k$/$N$.
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Works referenced in this record:

Phase Structure of Non-Compact qed3 and the Abelian Higgs Model
conference, January 2012

  • Appelquist, Thomas; Wijewardhana, L. C. R.
  • Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries
  • DOI: 10.1142/9789812702340_0022

The exact superconformal R-symmetry extremizes Z
journal, May 2012

Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS 4 /CFT 3
journal, September 2011

  • Benini, Francesco; Closset, Cyril; Cremonesi, Stefano
  • Journal of High Energy Physics, Vol. 2011, Issue 9
  • DOI: 10.1007/JHEP09(2011)005

Chiral-symmetry breaking in three-dimensional electrodynamics
journal, May 1984

Some properties of monopole harmonics
journal, August 1977

A new constraint on strongly coupled field theories
journal, July 1999

Fate of C P N − 1 Fixed Points with q Monopoles
journal, September 2013

Confinement/deconfinement transition of large N gauge theories with fundamentals: finite
journal, September 2004

Baryons, monopoles and dualities in Chern-Simons-matter theories
journal, February 2016

Exact results for Wilson loops in superconformal Chern-Simons theories with matter
journal, March 2010

  • Kapustin, Anton; Willett, Brian; Yaakov, Itamar
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)089

Indices for superconformal field theories in 3, 5 and 6 dimensions
journal, February 2008

  • Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani; Minwalla, Shiraz
  • Journal of High Energy Physics, Vol. 2008, Issue 02
  • DOI: 10.1088/1126-6708/2008/02/064

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large n Gauge Theories
conference, January 2012

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Proceedings of the Fifth International Workshop, Lie Theory and Its Applications in Physics V
  • DOI: 10.1142/9789812702562_0010

Monopole operators from the 4 − ϵ expansion
journal, December 2016

  • Chester, Shai M.; Mezei, Márk; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)015

Chiral flavors and M2-branes at toric CY4 singularities
journal, February 2010

  • Benini, Francesco; Closset, Cyril; Cremonesi, Stefano
  • Journal of High Energy Physics, Vol. 2010, Issue 2
  • DOI: 10.1007/JHEP02(2010)036

No evidence for bilinear condensate in parity-invariant three-dimensional QED with massless fermions
journal, February 2016

The Chiral Limit of Non-compact QED3
journal, May 2003

Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
journal, March 2014

Action of hedgehog instantons in the disordered phase of the (2 + 1)-dimensional CPN−1 model
journal, November 1990

On monopole operators in supersymmetric Chern-Simons-matter theories
journal, May 2015

  • Aharony, Ofer; Narayan, Prithvi; Sharma, Tarun
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)117

Index for three dimensional superconformal field theories with general R-charge assignments
journal, April 2011

  • Imamura, Yosuke; Yokoyama, Shuichi
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)007

Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
journal, September 1990

Topological Disorder Operators in Three-Dimensional Conformal Field Theory
journal, November 2002

Fermion path integrals and topological phases
journal, July 2016

Conformal QED d , F -theorem and the ϵ expansion
journal, February 2016

  • Giombi, Simone; Klebanov, Igor R.; Tarnopolsky, Grigory
  • Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 13
  • DOI: 10.1088/1751-8113/49/13/135403

Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
journal, October 2004

The complete superconformal index for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math> Chern–Simons theory
journal, November 2009

Towards bootstrapping QED3
journal, August 2016

  • Chester, Shai M.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)019

Anomalous dimensions of scalar operators in QED3
journal, August 2016

  • Chester, Shai M.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)069

Monopole Operators and Mirror Symmetry in Three Dimensions
journal, December 2002

Higher-order corrections in (2+1)-dimensional QED
journal, June 1989

A semidefinite program solver for the conformal bootstrap
journal, June 2015

Noncompact three-dimensional quantum electrodynamics with Nf=1 and Nf=4
journal, September 2004

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

  • El-Showk, Sheer; Paulos, Miguel F.; Poland, David
  • Journal of Statistical Physics, Vol. 157, Issue 4-5
  • DOI: 10.1007/s10955-014-1042-7

Compact gauge fields and the infrared catastrophe
journal, October 1975

Critical Behavior in (2+1)-Dimensional QED
journal, June 1988

Quantum Electrodynamics in d = 3 from the ε Expansion
journal, April 2016

The F -theorem and F -maximization
journal, October 2017

Monopoles in CP N − 1 model via the state-operator correspondence
journal, December 2008

Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere
journal, June 2011

  • Jafferis, Daniel L.; Klebanov, Igor R.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/JHEP06(2011)102

Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets
journal, April 1989

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
  • DOI: 10.4310/ATMP.2004.v8.n4.a1

A duality web in 2 + 1 dimensions and condensed matter physics
journal, November 2016

Disorder operators in Chern-Simons-fermion theories
journal, March 2016

Level/rank duality and Chern-Simons-matter theories
journal, September 2016

Nonsupersymmetric Dualities from Mirror Symmetry
journal, January 2017

Non-abelian 3$D$ bosonization and quantum Hall states
text, January 2016

  • Radičević, Ð; Tong, David; Turner, Carl
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.8939

Deconfined Quantum Critical Points
journal, March 2004

Particle-Vortex Duality from 3D Bosonization
journal, September 2016

Scale invariance of parity-invariant three-dimensional QED
journal, September 2016

Dirac monopole without strings: Monopole harmonics
journal, May 1976

Bootstrapping mixed correlators in the 3D Ising model
journal, November 2014

  • Kos, Filip; Poland, David; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2014, Issue 11
  • DOI: 10.1007/JHEP11(2014)109

Non-compact QED3 with Nf⩾2
journal, November 2002

Scaling dimensions of monopole operators in the ℂ ℙ N b − 1 $$ \mathbb{C}{\mathrm{\mathbb{P}}}^{N_b-1} $$ theory in 2 + 1 dimensions
journal, June 2015

  • Dyer, Ethan; Mezei, Márk; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)037

Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
text, January 2009

Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
text, January 2011

Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
text, January 2012

Bootstrapping Mixed Correlators in the 3D Ising Model
text, January 2014

On monopole operators in supersymmetric Chern-Simons-matter theories
preprint, January 2015

Towards Bootstrapping QED$_3$
text, January 2016

Particle-vortex duality in topological insulators and superconductors
text, January 2016

Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
text, January 2016

A Symmetry Breaking Scenario for QCD$_3$
text, January 2017

Phase Structure of Non-Compact QED3 and the Abelian Higgs Model
text, January 2004

Topological Disorder Operators in Three-Dimensional Conformal Field Theory
text, January 2002

Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories
journal, October 2012

  • Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/jhep10(2012)053

The Hagedorn transition, deconfinement and SYM theory
journal, May 2000

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large n Gauge Theories
conference, January 2012

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Proceedings of the Fifth International Workshop, Lie Theory and Its Applications in Physics V
  • DOI: 10.1142/9789812702562_0010
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    Works referencing / citing this record:

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    Easy-plane QED$_3$'s in the large $N_f$ limit
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    Carving out OPE space and precise O(2) model critical exponents
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    • Chester, Shai M.; Landry, Walter; Liu, Junyu
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    • DOI: 10.1007/jhep06(2020)142

    Flavor broken QCD3 at large N
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    Scaling the semidefinite program solver SDPB
    preprint, January 2019

    Phases of Two Adjoints QCD$_{3}$ And a Duality Chain
    preprint, January 2019

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