Preprint

PUBDB-2025-05766

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Higher-Point Correlators in $\mathcal{N}$ = 4 SYM: Ten-Dimensional Null Polygons

Bargheer, T. (Corresponding author)DESY* ; Bekov, A.DESY* ; Bercini, C. ; Coronado, F.

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-05766

Report No.: DESY-25-196; arXiv:2512.19780

Abstract: We consider higher-point generalizations of the "octagon" large-charge four-point function in planar $\mathcal{N}$ = 4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of $n$-point correlators of protected scalar operators with arbitrary R-charge, and are conjecturally dual to massive scattering amplitudes of W-bosons on the Coulomb branch of the theory. We present a twistor-based direct computation of the polygon loop integrands, and determine the two-loop integrands for any number of external operators. The result is expressed as a linear combination of conformal integrals, with coefficients that are rational functions of the spacetime distances and operator polarizations. We obtain an exact match with a one-loop integrability computation, and study the near-massless limit of the pentagon function.

Note: 42 pages + data files

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; Published

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