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We study event shapes in N = 4SYM describing the angular distribution of energy and R-charge in the final states created by the simplest half-BPS scalar operator. Applying the approach developed in the companion paper arXiv:1309.0769, we compute these observables

We study event shapes in N = 4SYM describing the angular distribution of energy and R-charge in the final states created by the simplest half-BPS scalar operator. Applying the approach developed in the companion paper arXiv:1309.0769, we compute these observables using the correlation functions of certain components of the N = 4 stress-tensor supermultiplet: the half-BPS operator itself, the R-symmetry current and the stress tensor. We present master formulas for the all-order event shapes as convolutions of the Mellin amplitude defining the correlation function of the half-BPS operators, with a coupling-independent kernel determined by the choice of the observable. We find remarkably simple relations between various event shapes following from N = 4 superconformal symmetry. We perform thorough checks at leading order in the weak coupling expansion and show perfect agreement with the conventional calculations based on amplitude techniques. We extend our results to strong coupling using the correlation function of half-BPS operators obtained from the AdS/CFT correspondence.

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    Title
    • Event Shapes in N = 4 Super-Yang-Mills Theory
    Contributors
    Date Created
    2014-04-30
    Resource Type
  • Text
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    Identifier
    • Digital object identifier: 10.1016/j.nuclphysb.2014.04.019
    • Identifier Type
      International standard serial number
      Identifier Value
      0550-3213
    • Identifier Type
      International standard serial number
      Identifier Value
      1873-1562

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    Belitsky, A., Hohenegger, S., Korchemsky, G., Sokatchev, E., & Zhiboedov, A. (2014). Event shapes in N = 4 super-Yang–Mills theory. Nuclear Physics B, 884, 206-256. doi:10.1016/j.nuclphysb.2014.04.019

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