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

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

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


Authors

Michael B. Green

Congkao Wen



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 Mar 29, 2024
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
Related Public URLs https://arxiv.org/abs/2102.08305

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Copyright Statement
Reprinted with permission from the American Physical Society: Dorigoni, Daniele, Green, Michael B. & Wen, Congkao (2021). Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory. Physical Review Letters 126(16): 161601. © (2021) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.





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