Determinant formula for the octagon form factor in \(\mathcal{N}\)=4 SYM

We compute to all loop orders correlation function of four heavy BPS operators in \(\mathcal{N}\)= 4 SYM with special polarisations considered recently by Frank Coronado. Our main result is an expression for the octagon form factor as determinant of a semi-infinite matrix. We find that at weak coupl...

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Bibliographic Details
Published in:arXiv.org 2019-05
Main Authors: Kostov, Ivan, Petkova, Valentina B, Serban, Didina
Format: Article
Language:English
Subjects:
Form factors
Mathematical analysis
Matrix methods
Operators (mathematics)
Online Access:Get full text
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Summary:We compute to all loop orders correlation function of four heavy BPS operators in \(\mathcal{N}\)= 4 SYM with special polarisations considered recently by Frank Coronado. Our main result is an expression for the octagon form factor as determinant of a semi-infinite matrix. We find that at weak coupling the entries of this matrix are linear combinations of ladder functions with simple rational coefficients and give the full perturbative expansion of the octagon.
ISSN:2331-8422
DOI:10.48550/arxiv.1903.05038