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arXiv · 2107.01924

Fermi-gas correlators of ADHM theory and triality symmetry

Yasuyuki Hatsuda·Tadashi Okazaki
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Abstract

We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d $\mathcal{N}=4$ 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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Yasuyuki Hatsuda, Tadashi Okazaki. 2021-07-05. Fermi-gas correlators of ADHM theory and triality symmetry. https://doi.org/10.21468/scipostphys.12.1.005

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