Fermi-gas correlators of ADHM theory and triality symmetry

Hatsuda, Yasuyuki; Okazaki, Tadashi

doi:10.21468/SciPostPhys.12.1.005

SciPost Physics

Fermi-gas correlators of ADHM theory and triality symmetry

Yasuyuki Hatsuda, Tadashi Okazaki

SciPost Phys. 12, 005 (2022) · published 5 January 2022

doi: 10.21468/SciPostPhys.12.1.005
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.1.005
TI  - Fermi-gas correlators of ADHM theory and triality symmetry
PY  - 2022/01/05
UR  - https://www.scipost.org/SciPostPhys.12.1.005
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 1
SP  - 005
A1  - Hatsuda, Yasuyuki
AU  - Okazaki, Tadashi
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.12.1.005,
	title={{Fermi-gas correlators of ADHM theory and triality symmetry}},
	author={Yasuyuki Hatsuda and Tadashi Okazaki},
	journal={SciPost Phys.},
	volume={12},
	pages={005},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.1.005},
	url={https://scipost.org/10.21468/SciPostPhys.12.1.005},
}

Cited by 8

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¹ Yasuyuki Hatsuda,
² Tadashi Okazaki

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