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127
Integrability for the Full Spectrum of Planar AdS/CFT II
, 2009
"... Using the thermodynamical Bethe ansatz method we derive an infinite set of integral nonlinear equations for the spectrum of states/operators in AdS/CFT. The Ysystem conjectured in [1] for the spectrum of all operators in planar N = 4 SYM theory follow from these equations. In particular, we present ..."
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Cited by 84 (4 self)
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Using the thermodynamical Bethe ansatz method we derive an infinite set of integral nonlinear equations for the spectrum of states/operators in AdS/CFT. The Ysystem conjectured in [1] for the spectrum of all operators in planar N = 4 SYM theory follow from these equations. In particular, we present the integral equations for the spectrum of all operators within the sl(2) sector.
Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric YangMills Theory
, 2009
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On the integrability of Wilson loops
 in AdS5 × S5: Some periodic ansätze,” JHEP 01 (2006) 056, hepth/0506058
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Konishi operator at intermediate coupling
 J. Phys. A44
"... Abstract: TBA equations for twoparticle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to ’t Hooft’s coupling λ ≈ 2046. The data obtained is used to analyze the properties of Yfunctions and address the issue o ..."
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Cited by 29 (1 self)
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Abstract: TBA equations for twoparticle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to ’t Hooft’s coupling λ ≈ 2046. The data obtained is used to analyze the properties of Yfunctions and address the issue of the existence of the critical values of the coupling. In addition we find a new integral representation for the BES dressing phase which substantially reduces the computational time.
Correlation functions of three heavy operators: The AdS contribution
 JHEP
, 2011
"... We consider operators in N = 4 SYM theory which are dual, at strong coupling, to classical strings rotating in S5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the string sigma model and a statedependent S5 contribution. Co ..."
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Cited by 28 (0 self)
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We consider operators in N = 4 SYM theory which are dual, at strong coupling, to classical strings rotating in S5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the string sigma model and a statedependent S5 contribution. Consequently a similar factorization arises for the OPE coefficients. In this paper we evaluate the AdS universal factor of the OPE coefficients which is explicitly expressed just in terms of the anomalous dimensions of the three operators.
Erratum: On holographic three point functions for GKP strings from integrability”, JHEP 06
, 2012
"... strings from integrability ..."
Solutions of the Tsystem and Baxter equations for supersymmetric spin chains”, arXiv:0906.2039
"... We propose Wronskianlike determinant formulae for the Baxter Qfunctions and the eigenvalues of transfer matrices for spin chains related to the quantum affine superalgebra Uq ( ̂ gl(MN)). In contrast to the supersymmetric BazhanovReshetikhin formula (the quantum supersymmetric JacobiTrudi form ..."
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Cited by 18 (4 self)
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We propose Wronskianlike determinant formulae for the Baxter Qfunctions and the eigenvalues of transfer matrices for spin chains related to the quantum affine superalgebra Uq ( ̂ gl(MN)). In contrast to the supersymmetric BazhanovReshetikhin formula (the quantum supersymmetric JacobiTrudi formula) proposed in [Z. Tsuboi, J. Phys. A: Math. Gen. 30 (1997) 7975], the size of the matrices of these Wronskianlike formulae is less than or equal to M + N. Base on these formulae, we give new expressions of the solutions of the Tsystem (fusion relations for transfer matrices) for supersymmetric spin chains proposed in the abovementioned paper. Baxter equations also follow from the Wronskianlike formulae. They are finite order linear difference equations with respect to the Baxter Qfunctions. Moreover, the Wronskianlike formulae also explicitly solve the functional relations for Bäcklund flows proposed in [V. Kazakov, A. Sorin,