Built on

A. B. Zamolodchikov, “On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories”, Phys. Lett
1991
Earlier work this paper cites.
C. Destri and H. J. de Vega, “New thermodynamic Bethe ansatz equations without strings”, Phys. Rev. Lett
1992
Earlier work this paper cites.
V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, “Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz”, Commun. Math. Phys
1996
Earlier work this paper cites.
D. Fioravanti, A. Mariottini, E. Quattrini, and F. Ravanini, “Excited state Destri-De Vega equation for Sine-Gordon and restricted Sine-Gordon models”, Phys.Lett
1997
Earlier work this paper cites.
I. Krichever, O. Lipan, P. Wiegmann, and A. Zabrodin, “Quantum integrable models and discrete classical Hirota equations”, Commun. Math. Phys
1997
Earlier work this paper cites.
P. Wiegmann, “Bethe ansatz and classical Hirota equation”, Int.J.Mod.Phys
1997
Earlier work this paper cites.
A. Santambrogio and D. Zanon, “Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge”, Phys. Lett
2002
Earlier work this paper cites.
I. Bena, J. Polchinski, and R. Roiban, “Hidden symmetries of the AdS(5) x S**5 superstring”, Phys. Rev
2004
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
2004
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, “DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory”, Nucl. Phys
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range P S U ( 2 , 2 | 4 ) PSU(2,2|4) Bethe Ansaetze for gauge theory and strings”, Nucl. Phys
2005
Earlier work this paper cites.
N. Beisert, V. A. Kazakov, K. Sakai, and K. Zarembo, “The algebraic curve of classical superstrings on AdS(5) x S**5”, Commun. Math. Phys
2006
Earlier work this paper cites.
N. Dorey, “Magnon bound states and the AdS/CFT correspondence”, J. Phys
2006
Earlier work this paper cites.
N. Gromov, V. Kazakov, and P. Vieira, “Finite volume spectrum of 2D field theories from Hirota dynamics”, Journal of High Energy Physics
Original
2008
Earlier work this paper cites.
V. V. Bazhanov and Z. Tsuboi, “Baxter’s Q-operators for supersymmetric spin chains”, Nucl. Phys
Original
2008
Earlier work this paper cites.
V. Kazakov, A. Sorin, and A. Zabrodin, “Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics”, Nucl. Phys
2008
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
Original
2009
Earlier work this paper cites.

Similar

D. Bombardelli, D. Fioravanti, and R. Tateo, “Thermodynamic Bethe Ansatz for planar AdS/CFT: A Proposal”, J.Phys.A
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2009
Cited alongside, same era.
G. Arutyunov and S. Frolov, “Thermodynamic Bethe Ansatz for the AdS 5 xS 5 Mirror Model”, JHEP
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A. Hegedus, “Discrete Hirota dynamics for AdS/CFT”, Nuclear Physics B
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2009
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Then

G. Arutyunov, S. Frolov, and R. Suzuki, “Exploring the mirror TBA”, JHEP
Original
2010
Later among the works it cites.
A. Cavaglia, D. Fioravanti, and R. Tateo, “Extended Y-system for the A d S 5 / C F T 4 AdS_{5}/CFT_{4} correspondence”, Nucl. Phys
Original
2011
Closest in time.
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
Original
2011
Closest in time.
N. Gromov, V. Kazakov, S. Leurent, and Z. Tsuboi, “Wronskian Solution for AdS/CFT Y-system”, JHEP
Original
2011
Closest in time.
S. Frolov, “Konishi operator at intermediate coupling”, J. Phys
Original

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2011

Solving the AdS/CFT Y-system

Gromov, Nikolay, Kazakov, Vladimir, Leurent, Sebastien et al.

Understand

Using integrability and analyticity properties of the AdS5/CFT4 Y-system we reduce it to a finite set of nonlinear integral equations.

The Z4 symmetry of the underlying coset sigma model, in its quantum version, allows for a deeper insight into the analyticity structure of the underlying Y-functions and T-functions, as well as for their analyticity friendly parameterization in terms of Wronskian determinants of Q-functions.
As a check for the new equations, we reproduce the numerical results for the Konishi operator previously obtained from the original infinite Y-system.

Built on

A. B. Zamolodchikov, “On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories”, Phys. Lett
1991
Earlier work this paper cites.
C. Destri and H. J. de Vega, “New thermodynamic Bethe ansatz equations without strings”, Phys. Rev. Lett
1992
Earlier work this paper cites.
V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, “Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz”, Commun. Math. Phys
1996
Earlier work this paper cites.
D. Fioravanti, A. Mariottini, E. Quattrini, and F. Ravanini, “Excited state Destri-De Vega equation for Sine-Gordon and restricted Sine-Gordon models”, Phys.Lett
1997
Earlier work this paper cites.
I. Krichever, O. Lipan, P. Wiegmann, and A. Zabrodin, “Quantum integrable models and discrete classical Hirota equations”, Commun. Math. Phys
1997
Earlier work this paper cites.
P. Wiegmann, “Bethe ansatz and classical Hirota equation”, Int.J.Mod.Phys
1997
Earlier work this paper cites.
A. Santambrogio and D. Zanon, “Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge”, Phys. Lett
2002
Earlier work this paper cites.
I. Bena, J. Polchinski, and R. Roiban, “Hidden symmetries of the AdS(5) x S**5 superstring”, Phys. Rev
2004
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
2004
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, “DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory”, Nucl. Phys
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range P S U ( 2 , 2 | 4 ) PSU(2,2|4) Bethe Ansaetze for gauge theory and strings”, Nucl. Phys
2005
Earlier work this paper cites.
N. Beisert, V. A. Kazakov, K. Sakai, and K. Zarembo, “The algebraic curve of classical superstrings on AdS(5) x S**5”, Commun. Math. Phys
2006
Earlier work this paper cites.
N. Dorey, “Magnon bound states and the AdS/CFT correspondence”, J. Phys
2006
Earlier work this paper cites.
N. Gromov, V. Kazakov, and P. Vieira, “Finite volume spectrum of 2D field theories from Hirota dynamics”, Journal of High Energy Physics
Original
2008
Earlier work this paper cites.
V. V. Bazhanov and Z. Tsuboi, “Baxter’s Q-operators for supersymmetric spin chains”, Nucl. Phys
Original
2008
Earlier work this paper cites.
V. Kazakov, A. Sorin, and A. Zabrodin, “Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics”, Nucl. Phys
2008
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
Original
2009
Earlier work this paper cites.