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Giant graviton expansion for general Wilson line operator indices

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arxiv 2406.19777 v2 pith:EW6LAJEZ submitted 2024-06-28 hep-th

Yosuke Imamura , Akihiro Sei , Daisuke Yokoyama This is my paper · ORCID
classification hep-th
keywords linegiantoperatorpartitionsconsistentexpansiongeneralgraviton
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a giant graviton expansion for Wilson line operator indices in general representations. The inserted line operators are specified by power sum symmetric polynomials $p_\lambda$ labeled by partitions $\lambda$. We interpret the partitions as the structure of fundamental string worldsheets wrapping around the temporal circle. The strings may or may not end on giant gravitons, and by summing the contributions from all brane configurations consistent with the specified partitions, we obtain the finite $N$ line operator index. The proposed formula is consistent with known results and passes highly non-trivial numerical tests.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

    hep-th 2025-05 conditional novelty 7.0 of 10

    Boundary Wilson and 't Hooft line two-point functions in N=4 SYM match exactly under S-duality, with closed forms from Macdonald polynomials.

  2. Line operator indices of S-fold theories

    hep-th 2026-07 conditional novelty 6.0 of 10

    Line-operator Schur indices for S-fold theories are matched to Wilson-'t Hooft indices in rank-2 N=4 SYM once giant graviton corrections are included, with new fivebrane-junction indices derived for k=3,4,6.

  3. Quiver superconformal index and giant gravitons: asymptotics and expansions

    hep-th 2025-09 conditional novelty 6.0 of 10

    For toric quiver theories, coefficients of the large-N superconformal index grow like exp(constant*sqrt(n)) times n^((m-5)/4) for the A-hat_m family, with polynomial growth for dP3 and Y^{p,0}.

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