Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Bargheer, Till Bekov, Albert Bercini, Carlos Coronado, Frank |
| author_facet | Bargheer, Till Bekov, Albert Bercini, Carlos Coronado, Frank |
| contents | We consider higher-point generalizations of the "octagon" large-charge four-point function in planar 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons Bargheer, Till Bekov, Albert Bercini, Carlos Coronado, Frank High Energy Physics - Theory We consider higher-point generalizations of the "octagon" large-charge four-point function in planar 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. |
| title | Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.19780 |