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arXiv · 2406.00413

ADHM Wilson line defect indices

Hirotaka Hayashi·Tomoki Nosaka·Tadashi Okazaki
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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.

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Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki. 2024-06-01. ADHM Wilson line defect indices. https://doi.org/10.1007/jhep09(2024)123

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