Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory

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

Abstract

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in N
= 4 supersymmetric Yang-Mills theory with a general classical gauge group GN. Here we determine generating functions that encode such integrated correlators for any classical gauge group and provide a proof of previously conjectured formulae. This gives a systematic understanding of the relation between properties of these correlators at finite N and their expansions at large N. In particular, it determines a duality-invariant non-perturbative completion of the large-N expansion in terms of a sum of novel non-holomorphic modular functions. These functions are exponentially suppressed at large N and have the form of a sum of contributions from coincident (p, q)-string world-sheet instantons.

Citation

Dorigoni, D., Green, M. B., Wen, C., & Xie, H. (2023). Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(4), Article 114. https://doi.org/10.1007/jhep04%282023%29114

• Journal Article Type: Article
• Acceptance Date: Apr 4, 2023
• Online Publication Date: Apr 24, 2023
• Publication Date: 2023
• Deposit Date: Oct 2, 2023
• Publicly Available Date: Oct 2, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 4
• Article Number: 114
• DOI: https://doi.org/10.1007/jhep04%282023%29114
• Keywords: Nuclear and High Energy Physics
• Public URL: https://durham-repository.worktribe.com/output/1755267