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An Operator Product Expansion for Form Factors

Amit Sever, Alexander G. Tumanov, Matthias Wilhelm

23/9/20 Published in : arXiv:2009.11297

We propose an operator product expansion for planar form factors of local operators in

\mathcal{N}=4

  SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their dual description in terms of periodic Wilson loops. A form factor is decomposed into a sequence of known pentagon transitions and a new universal object that we call the "form factor transition". This transition is subject to a set of non-trivial bootstrap constraints, which we expect to be sufficient to fully determine it. We evaluate the form factor transition for MHV form factors of the chiral half of the stress tensor supermultiplet at leading order in perturbation theory and use it to produce OPE predictions at any loop order. We match the one-loop and two-loop predictions with data available in the literature.

Entire article

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  • Field Theory

Applications of dispersive sum rules: ε-expansion and holography

Derived Representation Schemes and Nakajima Quiver Varieties

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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