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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
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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
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N. Gromov, F. Levkovich-Maslyuk and G. Sizov, “Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle,” JHEP 1310
Original
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Y. Makeenko, P. Olesen and G. W. Semenoff, “Cusped SYM Wilson loop at two loops and beyond,” Nucl. Phys. B 748
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N. Gromov and P. Vieira, “The AdS(5) x S**5 superstring quantum spectrum from the algebraic curve,” Nucl. Phys. B 789
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Original
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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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N. Gromov, V. Kazakov, A. Kozak and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang-Mills Theory: TBA and excited states,” Lett. Math. Phys. 91
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2013
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2014
Later among the works it cites.
A. Cavaglià, D. Fioravanti, N. Gromov and R. Tateo, “Quantum Spectral Curve of the 𝒩 = \mathcal{N}= 6 Supersymmetric Chern-Simons Theory,” Phys. Rev. Lett. 113
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2015

Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM

Gromov, Nikolay, Levkovich-Maslyuk, Fedor

Understand

We show that the Quantum Spectral Curve (QSC) formalism, initially formulated for the spectrum of anomalous dimensions of all local single trace operators in N=4 SYM, can be extended to the generalized cusp anomalous dimension for all values of the parameters.

We find that the large spectral parameter asymptotics and some analyticity properties have to be modified, but the functional relations are unchanged.
As a demonstration, we find an all-loop analytic expression for the first two nontrivial terms in the small |phi \pm theta| expansion.
We also present nonperturbative numerical results at generic angles which match perfectly 4-loop perturbation theory and the classical string prediction.