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

Dorigoni, Daniele and Green, Michael B. and Wen, Congkao (2021) 'Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory.', Physical review letters., 126 (16). p. 161601.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1103/PhysRevLett.126.161601
Publisher 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.
Date accepted:30 March 2021
Date deposited:30 September 2021
Date of first online publication:22 April 2021
Date first made open access:30 September 2021

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