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Fermi-gas correlators of ADHM theory and triality symmetry

24 Aug 2021, 20:40
20m
ZR5

ZR5

New Developments in Quantum Field Theory New Developments in Quantum Field Theory

Speaker

Tadashi Okazaki

Description

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.

Primary author

Co-author

Prof. Yasuyuki Hatsuda (Rikkyo University)

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