Determinant Formula for the Octagon Form Factor in N=4 Supersymmetric Yang-Mills Theory

We present a closed expression for the octagon form factor which appears as a building block in a class of four-point correlation functions in N=4 supersymmetric Yang-Mills theory considered recently by Coronado. The octagon form factor is expressed, to all loop orders, as the determinant of a semi-...

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Bibliographic Details
Published inPhysical review letters Vol. 122; no. 23; p. 231601
Main Authors Kostov, Ivan, Petkova, Valentina B, Serban, Didina
Format Journal Article
LanguageEnglish
Published United States 14.06.2019
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Summary:We present a closed expression for the octagon form factor which appears as a building block in a class of four-point correlation functions in N=4 supersymmetric Yang-Mills theory considered recently by Coronado. The octagon form factor is expressed, to all loop orders, as the determinant of a semi-infinite matrix. We find that perturbatively at weak coupling the entries of this matrix are linear combinations of ladder functions with simple rational coefficients.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.122.231601