Built on

E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B 326
1989
Earlier work this paper cites.
M. A. Vasiliev, “More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions,” Phys. Lett. B 285
1992
Earlier work this paper cites.
W. Chen, G. W. Semenoff and Y. -S. Wu, “Two loop analysis of nonAbelian Chern-Simons theory,” Phys. Rev. D 46
1992
Earlier work this paper cites.
M. A. Vasiliev, “Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions,” Int. J. Mod. Phys. D 5
1996
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Analysis of higher spin field equations in four-dimensions,” JHEP 0207
2002
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett. B 550
2002
Earlier work this paper cites.
M. A. Vasiliev, “Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),” Phys. Lett. B 567
2003
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys. B 644
2003
Earlier work this paper cites.
A. C. Petkou, “Evaluating the AdS dual of the critical O(N) vector model,” JHEP 0303
2003
Earlier work this paper cites.
L. Girardello, M. Porrati and A. Zaffaroni, “3-D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS,” Phys. Lett. B 561
2003
Earlier work this paper cites.

Similar

S. R. Das and A. Jevicki, “Large N collective fields and holography,” Phys. Rev. D 68
2003
Cited alongside, same era.
E. Sezgin and P. Sundell, “Holography in 4D (super) higher spin theories and a test via cubic scalar couplings,” JHEP 0507
2005
Cited alongside, same era.
S. Giombi and X. Yin, “Higher Spin Gauge Theory and Holography: The Three-Point Functions,” JHEP 1009
Original
2010
Cited alongside, same era.
M. R. Gaberdiel and R. Gopakumar, “An A d S 3 AdS_{3} Dual for Minimal Model CFTs,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
S. Giombi and X. Yin, ”Higher Spins in AdS and Twistorial Holography,” JHEP 1104
Original
2011
Cited alongside, same era.

Then

O. Aharony, G. Gur-Ari and R. Yacoby, “ d = 3 d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories,” JHEP 1203
Original
2012
Later among the works it cites.
O. Aharony, G. Gur-Ari and R. Yacoby, “Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions,” JHEP 1212
Original
2012
Later among the works it cites.
S. Jain, S. P. Trivedi, S. R. Wadia and S. Yokoyama, “Supersymmetric Chern-Simons Theories with Vector Matter,” JHEP 1210
Original
2012
Later among the works it cites.
S. Giombi and X. Yin, “The Higher Spin/Vector Model Duality,” J. Phys. A 46
Original
2013
Closest in time.
G. S. Ng and A. Strominger, “State/Operator Correspondence in Higher-Spin dS/CFT,” Class. Quant. Grav. 30

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2013

Chern-Simons theory coupled to bifundamental scalars

Banerjee, Shamik, Radicevic, Djordje

Understand

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group.

At small but fixed $M \ll N$, this system approaches the theory of a Chern-Simons field coupled to fundamental matter, conjectured to be dual to a parity-violating version of Vasiliev's higher-spin gauge theory in $AdS_4$.
At finite $M/N$ and large 't Hooft coupling this theory (or its SUSY version) is expected to be dual to an Einstein-like gravity.
We show at two loops that this theory possesses a line of fixed points at any value of $M/N$.

Built on

E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B 326
1989
Earlier work this paper cites.
M. A. Vasiliev, “More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions,” Phys. Lett. B 285
1992
Earlier work this paper cites.
W. Chen, G. W. Semenoff and Y. -S. Wu, “Two loop analysis of nonAbelian Chern-Simons theory,” Phys. Rev. D 46
1992
Earlier work this paper cites.
M. A. Vasiliev, “Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions,” Int. J. Mod. Phys. D 5
1996
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Analysis of higher spin field equations in four-dimensions,” JHEP 0207
2002
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett. B 550
2002
Earlier work this paper cites.
M. A. Vasiliev, “Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),” Phys. Lett. B 567
2003
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys. B 644
2003
Earlier work this paper cites.
A. C. Petkou, “Evaluating the AdS dual of the critical O(N) vector model,” JHEP 0303
2003
Earlier work this paper cites.
L. Girardello, M. Porrati and A. Zaffaroni, “3-D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS,” Phys. Lett. B 561
2003
Earlier work this paper cites.

Similar

S. R. Das and A. Jevicki, “Large N collective fields and holography,” Phys. Rev. D 68
2003
Cited alongside, same era.
E. Sezgin and P. Sundell, “Holography in 4D (super) higher spin theories and a test via cubic scalar couplings,” JHEP 0507
2005
Cited alongside, same era.
S. Giombi and X. Yin, “Higher Spin Gauge Theory and Holography: The Three-Point Functions,” JHEP 1009
Original
2010
Cited alongside, same era.
M. R. Gaberdiel and R. Gopakumar, “An A d S 3 AdS_{3} Dual for Minimal Model CFTs,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
S. Giombi and X. Yin, ”Higher Spins in AdS and Twistorial Holography,” JHEP 1104
Original
2011
Cited alongside, same era.

Then

O. Aharony, G. Gur-Ari and R. Yacoby, “ d = 3 d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories,” JHEP 1203
Original
2012
Later among the works it cites.
O. Aharony, G. Gur-Ari and R. Yacoby, “Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions,” JHEP 1212
Original
2012
Later among the works it cites.
S. Jain, S. P. Trivedi, S. R. Wadia and S. Yokoyama, “Supersymmetric Chern-Simons Theories with Vector Matter,” JHEP 1210
Original
2012
Later among the works it cites.
S. Giombi and X. Yin, “The Higher Spin/Vector Model Duality,” J. Phys. A 46
Original
2013
Closest in time.
G. S. Ng and A. Strominger, “State/Operator Correspondence in Higher-Spin dS/CFT,” Class. Quant. Grav. 30

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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R. d. M. Koch, A. Jevicki, K. Jin and J. P. Rodrigues, “ A d S 4 / C F T 3 AdS_{4}/CFT_{3} Construction from Collective Fields,” Phys. Rev. D 83

Original

2011

Cited alongside, same era.

M. R. Douglas, L. Mazzucato and S. S. Razamat, “Holographic dual of free field theory,” Phys. Rev. D 83

Original

2011

Cited alongside, same era.

A. Jevicki, K. Jin and Q. Ye, “Collective Dipole Model of AdS/CFT and Higher Spin Gravity,” J. Phys. A 44

Original

2011

Cited alongside, same era.

C.-M. Chang and X. Yin, “Higher Spin Gravity with Matter in A d S 3 AdS_{3} and Its CFT Dual,” JHEP 1210

Original

2012

Cited alongside, same era.

S. Giombi and X. Yin, “On Higher Spin Gauge Theory and the Critical O(N) Model,” Phys. Rev. D 85

Original

2012

Cited alongside, same era.

S. Giombi, S. Minwalla, S. Prakash, S. P. Trivedi, S. R. Wadia and X. Yin, “Chern-Simons Theory with Vector Fermion Matter,” Eur. Phys. J. C 72

Original

2012

Cited alongside, same era.

M. A. Vasiliev, “Higher spin gauge theories: Star product and AdS space,” In *Shifman, M.A. (ed.): The many faces of the superworld* 533-610 [hep-th/9910096]

Cited in the paper.

Original

2013

Closest in time.

D. Das, S. R. Das, A. Jevicki and Q. Ye, “Bi-local Construction of Sp(2N)/dS Higher Spin Correspondence,” JHEP 1301

Original

2013

Closest in time.

J. Maldacena and A. Zhiboedov, “Constraining Conformal Field Theories with A Higher Spin Symmetry,” J. Phys. A 46

Original

2013

Closest in time.