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Home > Physical Review Letters (APS) > Determinant Formula for the Octagon Form Factor in <math><mi>N</mi><mo>=</mo><mn>4</mn></math> Supersymmetric Yang-Mills Theory |

Kostov, Ivan (Institut de Physique ThÃ©orique, DRF-INP 3681, C.E.A.-Saclay, F-91191 Gif-sur-Yvette, France) ; Petkova, Valentina B. (Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria) ; Serban, Didina (Institut de Physique ThÃ©orique, DRF-INP 3681, C.E.A.-Saclay, F-91191 Gif-sur-Yvette, France)

12 June 2019

**Abstract: **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.

**Published in: ****Physical Review Letters 122 (2019)**
**Published by: **APS

**DOI: **10.1103/PhysRevLett.122.231601

**License: **CC-BY-4.0