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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- Matrix Pentagons
- Belitsky, Andrei (Author)
- College of Liberal Arts and Sciences (Contributor)
- Digital object identifier: 10.1016/j.nuclphysb.2017.08.011
- Identifier TypeInternational standard serial numberIdentifier Value0550-3213
- Identifier TypeInternational standard serial numberIdentifier Value1873-1562
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Belitsky, A. (2017). Matrix pentagons. Nuclear Physics B, 923, 588-607. doi:10.1016/j.nuclphysb.2017.08.011