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An Operator Product Expansion for Form Factors II. Born level

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arxiv 2105.13367 v2 pith:53IP3VWL submitted 2021-05-27 hep-th

An Operator Product Expansion for Form Factors II. Born level

classification hep-th
keywords formexpansionoperatortransitionsbornfactorfactorsknown
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 arXiv:2009.11297. 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.

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Cited by 2 Pith papers

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  1. Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

    hep-th 2026-05 unverdicted novelty 7.0

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.

  2. Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap

    hep-th 2026-04 conditional novelty 7.0

    The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.