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The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of

The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the 't Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.

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    Title
    • Matrix Pentagons
    Contributors
    Date Created
    2017-08-31
    Resource Type
  • Text
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    Identifier
    • Digital object identifier: 10.1016/j.nuclphysb.2017.08.011
    • 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. (2017). Matrix pentagons. Nuclear Physics B, 923, 588-607. doi:10.1016/j.nuclphysb.2017.08.011

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