Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” arXiv:1203.1913 [hep-th]
Original
1913
Earlier work this paper cites.
H. Bethe, “On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain,” Z. Phys. 71
1931
Earlier work this paper cites.
A. B. Zamolodchikov, “Thermodynamic Bethe Ansatz in Relativistic Models. Scaling Three State Potts and Lee–Yang Models,” Nucl. Phys. B
1990
Earlier work this paper cites.
V. Bazhanov and N. Reshetikhin, “Restricted Solid On Solid Models Connected With Simply Based Algebras And Conformal Field Theory,” J. Phys. A 23
1990
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, “Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory,” Nucl. Phys. B 447
1995
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP 0303
2003
Earlier work this paper cites.
N. Beisert, J. A. Minahan, M. Staudacher and K. Zarembo, “Stringing spins and spinning strings,” JHEP 0309
2003
Earlier work this paper cites.
N. Beisert, V. Dippel and M. Staudacher, “A Novel long range spin chain and planar N=4 super Yang-Mills,” JHEP 0407
2004
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Staudacher, “Bethe ansatz for quantum strings,” JHEP 0410
2004
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “On String S-matrix, Bound States and TBA,” JHEP 0712
Original
2007
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, “Transcendentality and crossing,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, “Wrapping at four loops in N=4 SYM,” Phys. Lett. B 666
Original
2008
Earlier work this paper cites.
Z. Bajnok, C. Rim and A. .Zamolodchikov, “Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude,” Nucl. Phys. B 796
Original
2008
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “String hypothesis for the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5} mirror,” JHEP 0903
Original
2009
Earlier work this paper cites.
N. Gromov, V. Kazakov and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory,” Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.

Similar

G. Arutyunov and S. Frolov, “Thermodynamic Bethe Ansatz for the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5} Mirror Model,” JHEP 0905
Original
2009
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D. Bombardelli, D. Fioravanti and R. Tateo, “Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal,” J. Phys. A 42
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G. Arutyunov and S. Frolov, “The Dressing Factor and Crossing Equations,” J. Phys. A 42
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Cited alongside, same era.
S. Frolov and R. Suzuki, “Temperature quantization from the TBA equations,” Phys. Lett. B 679
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G. Arutyunov and S. Frolov, “Simplified TBA equations of the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5} mirror model,” JHEP 0911

Then

G. Arutyunov and S. Frolov, “Comments on the Mirror TBA,” JHEP 1105
Original
2011
Later among the works it cites.
J. Balog and A. Hegedus, “ A d S 5 × S 5 AdS_{5}\times S^{5} mirror TBA equations from Y-system and discontinuity relations,” JHEP 1108
Original
2011
Later among the works it cites.
A. Sfondrini, S. J. van Tongeren, “Lifting asymptotic degeneracies with the Mirror TBA,” JHEP 1109
Original
2011
Later among the works it cites.
S. Frolov, “Konishi operator at intermediate coupling,” J. Phys. A 44
Original
2011
Later among the works it cites.
N. Gromov, D. Serban, I. Shenderovich, D. Volin, “Quantum folded string and integrability: From finite size effects to Konishi dimension,” JHEP 1108

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2012

Exceptional Operators in N=4 super Yang-Mills

Arutyunov, Gleb, Frolov, Sergey, Sfondrini, Alessandro

Understand

We consider one particularly interesting class of composite gauge-invariant operators in N=4 super Yang-Mills theory.

An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the one-loop rapidities of the constituent magnons are shown to be exact in the 't Hooft coupling constant.
This is used to propose the mirror TBA description for these operators.
The proposal is shown to pass several non-trivial checks.

Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” arXiv:1203.1913 [hep-th]
Original
1913
Earlier work this paper cites.
H. Bethe, “On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain,” Z. Phys. 71
1931
Earlier work this paper cites.
A. B. Zamolodchikov, “Thermodynamic Bethe Ansatz in Relativistic Models. Scaling Three State Potts and Lee–Yang Models,” Nucl. Phys. B
1990
Earlier work this paper cites.
V. Bazhanov and N. Reshetikhin, “Restricted Solid On Solid Models Connected With Simply Based Algebras And Conformal Field Theory,” J. Phys. A 23
1990
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, “Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory,” Nucl. Phys. B 447
1995
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP 0303
2003
Earlier work this paper cites.
N. Beisert, J. A. Minahan, M. Staudacher and K. Zarembo, “Stringing spins and spinning strings,” JHEP 0309
2003
Earlier work this paper cites.
N. Beisert, V. Dippel and M. Staudacher, “A Novel long range spin chain and planar N=4 super Yang-Mills,” JHEP 0407
2004
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Staudacher, “Bethe ansatz for quantum strings,” JHEP 0410
2004
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “On String S-matrix, Bound States and TBA,” JHEP 0712
Original
2007
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, “Transcendentality and crossing,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, “Wrapping at four loops in N=4 SYM,” Phys. Lett. B 666
Original
2008
Earlier work this paper cites.
Z. Bajnok, C. Rim and A. .Zamolodchikov, “Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude,” Nucl. Phys. B 796
Original
2008
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “String hypothesis for the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5} mirror,” JHEP 0903
Original
2009
Earlier work this paper cites.
N. Gromov, V. Kazakov and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory,” Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.