Quantum mechanics of null polygonal Wilson loops

Andrei Belitsky, S. E. Derkachov, A. N. Manashov

Research output: Contribution to journalArticle

28 Scopus citations


Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed that their dynamics is governed by the evolution of multiparticle GKP excitations. They were shown to emerge from the spectral problem of an underlying open spin chain. In this work we solve this model with the help of the Baxter Q-operator and Sklyanin's Separation of Variables methods. We provide an explicit construction for eigenfunctions and eigenvalues of GKP excitations. We demonstrate how the former define the so-called multiparticle hexagon transitions in super-Wilson loops and prove their factorized form at leading order of 't Hooft coupling for particle number-preserving transitions that were suggested earlier in a generic case.

Original languageEnglish (US)
Pages (from-to)303-351
Number of pages49
JournalNuclear Physics B
Issue number1
StatePublished - May 1 2014


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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