Built on

D. Medina-Rincon, “Matching quantum string corrections and circular Wilson loops in A d S 4 × ℂ P 3 AdS_{4}\times{\mathbb{C}P}^{3} ,” arXiv:1907.02984
Original
1907
Earlier work this paper cites.
M. David, R. De Léon Ardón, A. Faraggi, L. A. Pando Zayas and G. A. Silva, “One-loop holography with strings in A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} ,” arXiv:1907.08590
Original
1907
Earlier work this paper cites.
D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP 1208
Original
1913
Earlier work this paper cites.
C. Ahn and R. I. Nepomechie, “ 𝒩 = 6 {\cal N}=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations,” JHEP 0809
Original
1924
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum spectral curve for planar 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
Springer-Verlag, Berlin, 1974
M. F. Atiyah, Elliptic operators and compact groups · 1974
Earlier work this paper cites.
G. P. Korchemsky and A. V. Radyushkin, “Renormalization of the Wilson loops beyond the leading order,” Nucl. Phys. B 283
1987
Earlier work this paper cites.
E. Witten, “Topological quantum field theory,” Commun. Math. Phys. 117
1988
Earlier work this paper cites.
E. Witten, “Quantum field theory and the Jones polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
E. Guadagnini, M. Martellini and M. Mintchev, “Wilson lines in Chern-Simons theory and link invariants,” Nucl. Phys. B 330
1990
Earlier work this paper cites.
M. Alvarez and J. M. F. Labastida, “Analysis of observables in Chern-Simons perturbation theory,” Nucl. Phys. B 395
1993
Earlier work this paper cites.
A. Bassetto and L. Griguolo, “Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription,” Phys. Lett. B 443
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N N field theories,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
N. Drukker, D. J. Gross and H. Ooguri, “Wilson loops and minimal surfaces,” Phys. Rev. D 60
1999
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, “The operator product expansion for Wilson loops and surfaces in the large N N limit,” Phys. Rev. D 59
1999
Earlier work this paper cites.
J. K. Erickson, G. W. Semenoff and K. Zarembo, “Wilson loops in 𝒩 = 4 {\cal N}=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 582
2000
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An exact prediction of 𝒩 = 4 {\cal N}=4 SUSYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
K. Zarembo, “Supersymmetric Wilson loops,” Nucl. Phys. B 643
2002
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Earlier work this paper cites.
N. Halmagyi, T. Okuda and V. Yasnov, “Large N N duality, lens spaces and the Chern-Simons matrix model,” JHEP 0404
2004
Earlier work this paper cites.
N. Drukker and B. Fiol, “All-genus calculation of Wilson loops using D-branes,” JHEP 0502
2005
Earlier work this paper cites.
N. Drukker, “1/4 BPS circular loops, unstable world-sheet instantons and the matrix model,” JHEP 0609
2006
Earlier work this paper cites.
S. A. Hartnoll and S. P. Kumar, “Multiply wound Polyakov loops at strong coupling,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Yamaguchi, “Wilson loops of anti-symmetric representation and D5-branes,” JHEP 0605
2006
Earlier work this paper cites.
D. Gaiotto and X. Yin, “Notes on superconformal Chern-Simons-matter theories,” JHEP 0708
Original
2007
Earlier work this paper cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Num. Theor. Phys. 1
2007
Earlier work this paper cites.
S. Yamaguchi, “Bubbling geometries for half BPS Wilson lines,” Int. J. Mod. Phys. A 22
2007
Earlier work this paper cites.
O. Lunin, “1/2 BPS states in M theory and defects in the dual CFTs,” JHEP 0710
Original
2007
Earlier work this paper cites.
R. Roiban, A. Tirziu and A. A. Tseytlin, “Two-loop world-sheet corrections in A d S 5 × S 5 AdS_{5}\times S^{5} superstring,” JHEP 0707
Original
2007
Earlier work this paper cites.
N. Beisert, “The analytic Bethe Ansatz for a chain with centrally extended 𝔰 𝔲 ( 2 | 2 ) \mathfrak{s}\mathfrak{u}(2|2) symmetry,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “ 𝒩 = 6 {\cal N}=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Earlier work this paper cites.
O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811
Original
2008
Earlier work this paper cites.
D. Berenstein and D. Trancanelli, “Three-dimensional 𝒩 = 6 {\cal N}=6 SCFT’s and their membrane dynamics,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. Drukker, J. Plefka and D. Young, “Wilson loops in 3-dimensional 𝒩 = 6 {\cal N}=6 supersymmetric Chern-Simons theory and their string theory duals,” JHEP 0811
Original
2008
Earlier work this paper cites.
M. Benna, I. Klebanov, T. Klose and M. Smedback, “Superconformal Chern-Simons theories and A d S 4 AdS_{4} /CFT 3 correspondence,” JHEP 0809
Original
2008
Earlier work this paper cites.
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, “Supersymmetric Wilson loops on S 3 S^{3} ,” JHEP 0805
Original
2008
Earlier work this paper cites.
K. Hosomichi, K. M. Lee, S. Lee, S. Lee and J. Park, “ 𝒩 = 4 {\cal N}=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets”, JHEP 0807
Original
2008
Earlier work this paper cites.
T. McLoughlin, R. Roiban and A. A. Tseytlin, “Quantum spinning strings in A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} : Testing the Bethe Ansatz proposal,” JHEP 0811
Original
2008
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP 0809
Original
2008
Earlier work this paper cites.
S. J. Rey, T. Suyama and S. Yamaguchi, “Wilson loops in superconformal Chern-Simons theory and fundamental strings in anti-de Sitter supergravity dual,” JHEP 0903
Original
2009
Earlier work this paper cites.
N. Halmagyi and V. Yasnov, “The spectral curve of the lens space matrix model,” JHEP 0911
2009
Earlier work this paper cites.

Similar

N. Drukker, J. Gomis and D. Young, “Vortex loop operators, M2-branes and holography,” JHEP 0903
Original
2009
Cited alongside, same era.
N. Gromov and P. Vieira, “The all loop A d S 4 AdS_{4} /CFT 3 Bethe ansatz,” JHEP 0901
Original
2009
Cited alongside, same era.
O. Bergman and S. Hirano, “Anomalous radius shift in A d S 4 AdS_{4} /CFT 3 ,” JHEP 0907
Original
2009
Cited alongside, same era.
D. Gaiotto, S. Giombi and X. Yin, “Spin chains in 𝒩 = 6 {\cal N}=6 superconformal Chern-Simons-matter theory,” JHEP 0904
Original
2009
Cited alongside, same era.
N. Drukker and D. Trancanelli, “A supermatrix model for 𝒩 = 6 {\cal N}=6 super Chern-Simons-matter theory,” JHEP 1002

Then

J. A. Minahan, O. Ohlsson Sax and C. Sieg, “A limit on the ABJ model,” J. Phys. Conf. Ser. 462
Original
2013
Later among the works it cites.
M. S. Bianchi, L. Griguolo, M. Leoni, S. Penati and D. Seminara, “BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis,” JHEP 1406
Original
2014
Later among the works it cites.
D. H. Correa, J. Aguilera-Damia and G. A. Silva, “Strings in A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} Wilson loops in 𝒩 = 6 {\mathcal{N}}=6 super Chern-Simons-matter and bremsstrahlung functions,” JHEP 1406
Original
2014
Later among the works it cites.
A. Lewkowycz and J. Maldacena, “Exact results for the entanglement entropy and the energy radiated by a quark,” JHEP 1405
Original
2014
Later among the works it cites.
L. Bianchi, M. S. Bianchi, A. Bres, V. Forini and E. Vescovi, “Two-loop cusp anomaly in ABJM at strong coupling,” JHEP 1410

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2019

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

Drukker, Nadav, Trancanelli, Diego, Bianchi, Lorenzo et al.

Understand

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.

Built on

D. Medina-Rincon, “Matching quantum string corrections and circular Wilson loops in A d S 4 × ℂ P 3 AdS_{4}\times{\mathbb{C}P}^{3} ,” arXiv:1907.02984
Original
1907
Earlier work this paper cites.
M. David, R. De Léon Ardón, A. Faraggi, L. A. Pando Zayas and G. A. Silva, “One-loop holography with strings in A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} ,” arXiv:1907.08590
Original
1907
Earlier work this paper cites.
D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP 1208
Original
1913
Earlier work this paper cites.
C. Ahn and R. I. Nepomechie, “ 𝒩 = 6 {\cal N}=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations,” JHEP 0809
Original
1924
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum spectral curve for planar 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
Springer-Verlag, Berlin, 1974
M. F. Atiyah, Elliptic operators and compact groups · 1974
Earlier work this paper cites.
G. P. Korchemsky and A. V. Radyushkin, “Renormalization of the Wilson loops beyond the leading order,” Nucl. Phys. B 283
1987
Earlier work this paper cites.
E. Witten, “Topological quantum field theory,” Commun. Math. Phys. 117
1988
Earlier work this paper cites.
E. Witten, “Quantum field theory and the Jones polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
E. Guadagnini, M. Martellini and M. Mintchev, “Wilson lines in Chern-Simons theory and link invariants,” Nucl. Phys. B 330
1990
Earlier work this paper cites.
M. Alvarez and J. M. F. Labastida, “Analysis of observables in Chern-Simons perturbation theory,” Nucl. Phys. B 395
1993
Earlier work this paper cites.
A. Bassetto and L. Griguolo, “Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription,” Phys. Lett. B 443
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N N field theories,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
N. Drukker, D. J. Gross and H. Ooguri, “Wilson loops and minimal surfaces,” Phys. Rev. D 60
1999
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, “The operator product expansion for Wilson loops and surfaces in the large N N limit,” Phys. Rev. D 59
1999
Earlier work this paper cites.
J. K. Erickson, G. W. Semenoff and K. Zarembo, “Wilson loops in 𝒩 = 4 {\cal N}=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 582
2000
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An exact prediction of 𝒩 = 4 {\cal N}=4 SUSYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
K. Zarembo, “Supersymmetric Wilson loops,” Nucl. Phys. B 643
2002
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Earlier work this paper cites.
N. Halmagyi, T. Okuda and V. Yasnov, “Large N N duality, lens spaces and the Chern-Simons matrix model,” JHEP 0404
2004
Earlier work this paper cites.
N. Drukker and B. Fiol, “All-genus calculation of Wilson loops using D-branes,” JHEP 0502
2005
Earlier work this paper cites.
N. Drukker, “1/4 BPS circular loops, unstable world-sheet instantons and the matrix model,” JHEP 0609
2006
Earlier work this paper cites.
S. A. Hartnoll and S. P. Kumar, “Multiply wound Polyakov loops at strong coupling,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Yamaguchi, “Wilson loops of anti-symmetric representation and D5-branes,” JHEP 0605
2006
Earlier work this paper cites.
D. Gaiotto and X. Yin, “Notes on superconformal Chern-Simons-matter theories,” JHEP 0708
Original
2007
Earlier work this paper cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Num. Theor. Phys. 1
2007
Earlier work this paper cites.
S. Yamaguchi, “Bubbling geometries for half BPS Wilson lines,” Int. J. Mod. Phys. A 22
2007
Earlier work this paper cites.
O. Lunin, “1/2 BPS states in M theory and defects in the dual CFTs,” JHEP 0710
Original
2007
Earlier work this paper cites.
R. Roiban, A. Tirziu and A. A. Tseytlin, “Two-loop world-sheet corrections in A d S 5 × S 5 AdS_{5}\times S^{5} superstring,” JHEP 0707
Original
2007
Earlier work this paper cites.
N. Beisert, “The analytic Bethe Ansatz for a chain with centrally extended 𝔰 𝔲 ( 2 | 2 ) \mathfrak{s}\mathfrak{u}(2|2) symmetry,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “ 𝒩 = 6 {\cal N}=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Earlier work this paper cites.
O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811
Original
2008
Earlier work this paper cites.
D. Berenstein and D. Trancanelli, “Three-dimensional 𝒩 = 6 {\cal N}=6 SCFT’s and their membrane dynamics,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. Drukker, J. Plefka and D. Young, “Wilson loops in 3-dimensional 𝒩 = 6 {\cal N}=6 supersymmetric Chern-Simons theory and their string theory duals,” JHEP 0811
Original
2008
Earlier work this paper cites.
M. Benna, I. Klebanov, T. Klose and M. Smedback, “Superconformal Chern-Simons theories and A d S 4 AdS_{4} /CFT 3 correspondence,” JHEP 0809
Original
2008
Earlier work this paper cites.
N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, “Supersymmetric Wilson loops on S 3 S^{3} ,” JHEP 0805
Original
2008
Earlier work this paper cites.
K. Hosomichi, K. M. Lee, S. Lee, S. Lee and J. Park, “ 𝒩 = 4 {\cal N}=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets”, JHEP 0807
Original
2008
Earlier work this paper cites.
T. McLoughlin, R. Roiban and A. A. Tseytlin, “Quantum spinning strings in A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} : Testing the Bethe Ansatz proposal,” JHEP 0811
Original
2008
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP 0809
Original
2008
Earlier work this paper cites.
S. J. Rey, T. Suyama and S. Yamaguchi, “Wilson loops in superconformal Chern-Simons theory and fundamental strings in anti-de Sitter supergravity dual,” JHEP 0903
Original
2009
Earlier work this paper cites.
N. Halmagyi and V. Yasnov, “The spectral curve of the lens space matrix model,” JHEP 0911
2009
Earlier work this paper cites.