Matrix pentagons

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)588-607
Number of pages20
JournalNuclear Physics B
StatePublished - Oct 2017

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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