An Operator Product Expansion for Form Factors II. Born level

Amit Sever, Alexander G. Tumanov, Matthias Wilhelm

Research output: Contribution to journalArticlepeer-review


Form factors in planar N = 4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in [1]. This expansion is based on a decomposition of the dual periodic Wilson loop into elementary building blocks: the known pentagon transitions and a new object that we call form factor transition, which encodes the information about the local operator. In this paper, we compute the two-particle form factor transitions for the chiral part of the stress-tensor supermultiplet at Born level; they yield the leading contribution to the OPE. To achieve this, we explicitly construct the Gubser-Klebanov-Polyakov two-particle singlet states. The resulting transitions are then used to test the OPE against known perturbative data and to make higher-loop predictions.

Original languageEnglish
Article number71
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2021


  • 1/N Expansion
  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Scattering Amplitudes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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