Fermi-gas correlators of ADHM theory and triality symmetry

2021/07/31 by Yasuyuki Hatsuda, Tadashi Okazaki · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.21468/scipostphys.12.1.005

published as SciPost Phys. 12, 005 (2022) · 48 pages, 1 figure, v3: published version in SciPost

arxiv created 2022/01/05 · arxiv updated 2022/01/10

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 A_l-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.

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