ADHM Wilson line defect indices

Abstract

The Coulomb and Higgs indices of the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large $N$ limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs.

117 pages, 6 figures, v2: published version in JHEP

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Cited by in corpus (4)

• M2-M5 giant graviton expansions
• Abelian dualities and line defect indices for 3d gauge theories
• ${\text{AdS}}_4$ Holography and the Hilbert Scheme
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs