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Analytic solution of Bremsstrahlung TBA II: turning on the sphere angle

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Abstract

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the ‘t Hooft coupling and arbitrary R-charge L of the local operator inserted on the cusp in a near-BPS limit.

Our finding generalizes the previous results of one of the authors & Sever and passes several nontrivial tests. First, for a particular case L = 0 we reproduce the predictions of localization techniques. Second, we show that in the classical limit our result perfectly reproduces the existing prediction from classical string theory. In addition, we made a comparison with all existing weak coupling results and we found that our result interpolates smoothly between these two very different regimes of AdS/CFT. As a byproduct we found a generalization of the essential parts of the FiNLIE construction for the γ-deformed case and discuss our results in the framework of the novel P μ-formulation of the spectral problem.

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Authors and Affiliations

  1. King’s College London, Department of Mathematics, The Strand, London, WC2R 2LS, U.K.

    Nikolay Gromov, Fedor Levkovich-Maslyuk & Grigory Sizov

  2. St. Petersburg INP, Gatchina, 188 300, St. Petersburg, Russia

    Nikolay Gromov

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  1. Nikolay Gromov
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  2. Fedor Levkovich-Maslyuk
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  3. Grigory Sizov
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Correspondence to Fedor Levkovich-Maslyuk.

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ArXiv ePrint: 1305.1944

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Gromov, N., Levkovich-Maslyuk, F. & Sizov, G. Analytic solution of Bremsstrahlung TBA II: turning on the sphere angle. J. High Energ. Phys. 2013, 36 (2013). https://doi.org/10.1007/JHEP10(2013)036

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