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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 in:Physical review letters 2019-06, Vol.122 (23), p.231601-231601, Article 231601
Main Authors: Kostov, Ivan, Petkova, Valentina B, Serban, Didina
Format: Article
Language:English
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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:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.122.231601