Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory

Dorigoni, Daniele; Green, Michael B.; Wen, Congkao

Abstract

An integrated correlator of four superconformal stress-tensor primaries of N = 4 supersymmetric S U ( N ) Yang-Mills theory (SYM), originally obtained by localization, is reexpressed as a two-dimensional lattice sum that is manifestly invariant under S L ( 2 , Z ) S duality. This expression is shown to satisfy a novel Laplace equation in the complex coupling constant τ that relates the S U ( N ) integrated correlator to those of the S U ( N + 1 ) and S U ( N − 1 ) theories. The lattice sum is shown to precisely reproduce known perturbative and nonperturbative properties of N = 4 SYM for any finite N , as well as extending previously conjectured properties of the large- N expansion.

Citation

Dorigoni, D., Green, M. B., & Wen, C. (2021). Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory. Physical Review Letters, 126(16), Article 161601. https://doi.org/10.1103/physrevlett.126.161601

• Journal Article Type: Article
• Acceptance Date: Mar 30, 2021
• Online Publication Date: Apr 22, 2021
• Publication Date: Apr 23, 2021
• Deposit Date: Jun 29, 2021
• Publicly Available Date: Sep 30, 2021
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 126
• Issue: 16
• Article Number: 161601
• DOI: https://doi.org/10.1103/physrevlett.126.161601
• Public URL: https://durham-repository.worktribe.com/output/1246450
• Related Public URLs: https://arxiv.org/abs/2102.08305