Roadmap on Wilson loops in 3d Chern–Simons-matter theories - INSPIRE

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Roadmap on Wilson loops in 3d Chern–Simons-matter theories

Nadav Drukker
(
- King's Coll. London
)
,
Diego Trancanelli
(
- Modena U.
)
,
Lorenzo Bianchi
(
- Queen Mary, U. of London
)
,
Marco S. Bianchi
(
- Unlisted
)
,
Diego H. Correa
(
- La Plata U.
)

Oct 1, 2019

50 pages

Published in:

J.Phys.A 53 (2020) 17, 173001

Published: Apr 6, 2020

e-Print:

1910.00588 [hep-th]

DOI:

10.1088/1751-8121/ab5d50

View in:

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Abstract: (arXiv)

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic.

Note:

41 pages, 4 figures, prepared for submission to J. Phys. A; v2: minor changes, published version

Wilson loops
Chern–Simons
supersymmetry
roadmap
Wilson loop
supersymmetry: 4
dimension: 3
Chern-Simons term
ABJM model
BPS

References(126)

Figures(1)

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Nadav Drukker
(
- Humboldt U., Berlin
)
,
Diego Trancanelli
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)

- JHEP 02 (2010) 058
•
e-Print:
- 0912.3006
•
DOI:
- 10.1007/JHEP02(2010)058

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Ofer Aharony
(
- Weizmann Inst.
)
,
Oren Bergman
(
- Princeton, Inst. Advanced Study and
- Technion
)
,
Daniel Louis Jafferis
(
- Rutgers U., Piscataway
)
,
Juan Maldacena
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2008) 091
•
e-Print:
- 0806.1218
•
DOI:
- 10.1088/1126-6708/2008/10/091

Fractional M2-branes

Ofer Aharony
(
- Weizmann Inst.
)
,
Oren Bergman
(
- Princeton, Inst. Advanced Study and
- Technion
)
,
Daniel Louis Jafferis
(
- Rutgers U., Piscataway
)

- JHEP 11 (2008) 043
•
e-Print:
- 0807.4924
•
DOI:
- 10.1088/1126-6708/2008/11/043

Three-dimensional N=6 SCFT's and their membrane dynamics

- Phys.Rev.D 78 (2008) 106009
•
e-Print:
- 0808.2503
•
DOI:
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Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals

Nadav Drukker
(
- Humboldt U., Berlin
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Donovan Young
(
- Humboldt U., Berlin
)

- JHEP 11 (2008) 019
•
e-Print:
- 0809.2787
•
DOI:
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Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory

Bin Chen
(
- Peking U.
)
,
Jun-Bao Wu
(
- SISSA, Trieste and
- INFN, Trieste
)

- Nucl.Phys.B 825 (2010) 38-51
•
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•
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Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual

Soo-Jong Rey
(
- Seoul U. and
- Seoul Natl. U.
)
,
Takao Suyama
(
- Seoul U. and
- Seoul Natl. U.
)
,
Satoshi Yamaguchi
(
- Seoul U. and
- Seoul Natl. U.
)

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•
e-Print:
- 0809.3786
•
DOI:
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New supersymmetric Wilson loops in ABJ(M) theories

V. Cardinali
(
- Florence U. and
- INFN, Florence
)
,
L. Griguolo
(
- Parma U. and
- INFN, Parma
)
,
G. Martelloni
(
- Florence U. and
- INFN, Florence
)
,
D. Seminara
(
- Florence U. and
- INFN, Florence
)

- Phys.Lett.B 718 (2012) 615-619
•
e-Print:
- 1209.4032
•
DOI:
- 10.1016/j.physletb.2012.10.051

Novel BPS Wilson loops in three-dimensional quiver Chern–Simons-matter theories

Hao Ouyang
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)
,
Jun-Bao Wu
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)
,
Jia-ju Zhang
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)

- Phys.Lett.B 753 (2016) 215-220
•
e-Print:
- 1510.05475
•
DOI:
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Notes on superconformal Chern-Simons-Matter theories

- JHEP 08 (2007) 056
•
e-Print:
- 0704.3740
•
DOI:
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1/2-BPS Wilson Loops and Vortices in ABJM Model

- JHEP 09 (2010) 004
•
e-Print:
- 1006.5589
•
DOI:
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The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details

Marco S. Bianchi
(
- Humboldt U., Berlin
)
,
Gaston Giribet
(
- Buenos Aires U. and
- Buenos Aires, CONICET
)
,
Matias Leoni
(
- Buenos Aires, CONICET and
- Buenos Aires U.
)
,
Silvia Penati
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 10 (2013) 085
•
e-Print:
- 1307.0786
•
DOI:
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Rigid Supersymmetric Theories in Curved Superspace

- JHEP 06 (2011) 114
•
e-Print:
- 1105.0689
•
DOI:
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Topological Quantum Field Theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

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•
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Vasily Pestun
(
- Princeton U.
)

- Commun.Math.Phys. 313 (2012) 71-129
•
e-Print:
- 0712.2824
•
DOI:
- 10.1007/s00220-012-1485-0

Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence

Marcus Benna
(
- Princeton U.
)
,
Igor Klebanov
(
- Princeton U. and
- Princeton U., CTP
)
,
Thomas Klose
(
- Princeton U. and
- Princeton U., CTP
)
,
Mikael Smedback
(
- Princeton U. and
- Uppsala U., Inst. Theor. Phys.
)

- JHEP 09 (2008) 072
•
e-Print:
- 0806.1519
•
DOI:
- 10.1088/1126-6708/2008/09/072

Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter

- JHEP 03 (2010) 089
•
e-Print:
- 0909.4559
•
DOI:
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Elliptic Operators and Compact Groups

M.F. Atiyah

- Lect.Notes Math. 401 (1974) 1
•
DOI:
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A one-dimensional theory for Higgs branch operators

Mykola Dedushenko
(
- Caltech and
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)
,
Ran Yacoby
(
- Weizmann Inst. and
- Princeton U.
)

- JHEP 03 (2018) 138
•
e-Print:
- 1610.00740
•
DOI:
- 10.1007/JHEP03(2018)138

Exact Results in ABJM Theory from Topological Strings

Marcos Marino
(
- Geneva U.
)
,
Pavel Putrov
(
- Geneva U.
)

- JHEP 06 (2010) 011
•
e-Print:
- 0912.3074
•
DOI:
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From weak to strong coupling in ABJM theory

Nadav Drukker
(
- Humboldt U., Berlin
)
,
Marcos Marino
(
- Geneva U.
)
,
Pavel Putrov
(
- Geneva U.
)

- Commun.Math.Phys. 306 (2011) 511-563
•
e-Print:
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•
DOI:
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Mina Aganagic
(
- Harvard U.
)
,
Albrecht Klemm
(
- Humboldt U., Berlin
)
,
Marcos Marino
(
- Harvard U.
)
,
Cumrun Vafa
(
- Harvard U.
)

- JHEP 02 (2004) 010
•
e-Print:
- hep-th/0211098
•
DOI:
- 10.1088/1126-6708/2004/02/010

The Spectral curve of the lens space matrix model

Nick Halmagyi
(
- Southern California U. and
- Santa Barbara, KITP
)
,
Vadim Yasnov
(
- Southern California U.
)

- JHEP 11 (2009) 104
•
e-Print:
- hep-th/0311117
•
DOI:
- 10.1088/1126-6708/2009/11/104

Large N duality, lens spaces and the Chern-Simons matrix model

Nick Halmagyi
(
- Southern California U. and
- Santa Barbara, KITP
)
,
Takuya Okuda
(
- Caltech
)
,
Vadim Yasnov
(
- Southern California U.
)

- JHEP 04 (2004) 014
•
e-Print:
- hep-th/0312145
•
DOI:
- 10.1088/1126-6708/2004/04/014

Multi-Matrix Models and Tri-Sasaki Einstein Spaces

Christopher P. Herzog
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)
,
Tiberiu Tesileanu
(
- Princeton U.
)

- Phys.Rev.D 83 (2011) 046001
•
e-Print:
- 1011.5487
•
DOI:
- 10.1103/PhysRevD.83.046001

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