Higher-Point Correlators in N=4 SYM: Generating Functions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918419901710336 |
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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 construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles are captured by products of lower-point generating functions. We also extract new OPE data on spinning structure constants, and compare these to integrability-based computations, finding good agreement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_14332 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-Point Correlators in N=4 SYM: Generating Functions Bargheer, Till Bekov, Albert Bercini, Carlos Coronado, Frank High Energy Physics - Theory We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles are captured by products of lower-point generating functions. We also extract new OPE data on spinning structure constants, and compare these to integrability-based computations, finding good agreement. |
| title | Higher-Point Correlators in N=4 SYM: Generating Functions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.14332 |