Fermi-gas correlators of ADHM theory and triality symmetry

Hatsuda, Yasuyuki; Okazaki, Tadashi

Abstract

We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d N = 4 ADHM theory with a gauge group U(N), an adjoint hypermultiplet and l hypermultiplets which can describe a stack of N M2-branes at Al−1 singularities. We find that the leading coefficients of the perturbative grand canonical correlation functions are invariant under a hidden triality symmetry conjectured from the twisted M-theory. The triality symmetry also helps us to fix the next-to-leading corrections analytically.

Citation

Hatsuda, Y., & Okazaki, T. (2022). Fermi-gas correlators of ADHM theory and triality symmetry. SciPost Physics, 12(1), https://doi.org/10.21468/scipostphys.12.1.005

• Journal Article Type: Article
• Acceptance Date: Oct 20, 2021
• Online Publication Date: Jan 5, 2022
• Publication Date: 2022
• Deposit Date: Mar 15, 2022
• Publicly Available Date: Mar 15, 2022
• Journal: SciPost Physics
• Print ISSN: 2542-4653
• Electronic ISSN: 2542-4653
• Publisher: SciPost
• Peer Reviewed: Peer Reviewed
• Volume: 12
• Issue: 1
• DOI: https://doi.org/10.21468/scipostphys.12.1.005
• Public URL: https://durham-repository.worktribe.com/output/1211578