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  • 1.
    Chen-Lin, Xinyi
    et al.
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Dekel, Amit
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Zarembo, Konstantin
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
    Holographic Wilson loops in symmetric representations in N=2*super-Yang-Mills theory2016In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 109Article in journal (Refereed)
    Abstract [en]

    We construct the D3-brane solution in the holographic dual of the N = 2* theory that describes Wilson lines in symmetric representations of the gauge group. The results perfectly agree with the direct field-theory predictions based on localization.

  • 2. Cooke, Michael
    et al.
    Dekel, Amit
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Drukker, Nadav
    The Wilson loop CFT: insertion dimensions and structure constants from wavy lines2017In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 33, article id 335401Article in journal (Refereed)
    Abstract [en]

    We study operator insertions into the 1/2 BPS Wilson loop in N = 4 SYM theory and determine their two-point coefficients, anomalous dimensions and structure constants. The calculation is done for the first few lowest dimension insertions and relies on known results for the expectation value of a smooth Wilson loop. In addition to the particular coefficients that we calculate, our study elucidates the connection between deformations of the line and operator insertions and between the vacuum expectation value of the line and the CFT data of the insertions.

  • 3. Cooke, Michael
    et al.
    Dekel, Amit
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Drukker, Nadav
    Trancanelli, Diego
    Vescovi, Edoardo
    Deformations of the circular Wilson loop and spectral (in)dependence2019In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 076Article in journal (Refereed)
    Abstract [en]

    In this paper we study the expectation value of deformations of the circular Wilson loop in N=4 super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from supersymmetric localization, so our focus is on deformations at higher orders. We find simple expressions for the expectation values for generic deformations at the quartic order at one-loop at weak coupling and at leading order at strong coupling. We also present a very simple algorithm (not requiring integration) to evaluate the two-loop result. We find that an exact symmetry of the strong coupling sigma-model, known as the spectral-parameter independence, is an approximate symmetry at weak coupling, modifying the expectation value starting only at the sextic order in the deformation. Furthermore, we find very simple patterns for how the spectral parameter can appear in the weak coupling calculation, suggesting all-order structures.

  • 4.
    Dekel, Amit
    Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
    Dual conformal transformations of smooth holographic Wilson loops2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 085Article in journal (Refereed)
    Abstract [en]

    We study dual conformal transformations of minimal area surfaces in AdS 5 x S-5 corresponding to holographic smooth Wilson loops and some other related observables. To act with dual conformal transformations we map the string solutions to the dual space by means of T-duality, then we apply a conformal transformation and finally T-dualize back to the original space. The transformation maps between string solutions with different boundary contours. The boundary contours of the minimal surfaces are not mapped back to the AdS boundary, and the regularized area of the surface changes.

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