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Finite-$N$ superconformal index via the AdS/CFT correspondence

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arxiv 2108.12090 v1 pith:LTU5S523 submitted 2021-08-27 hep-th

Yosuke Imamura This is my paper · ORCID
classification hep-th
keywords indexcontributionsfinitesuperconformalwrappedaroundbeenboldsymbol
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a prescription to calculate the superconformal index of the ${\cal N}=4$ $U(N)$ supersymmetric Yang-Mills theory with finite $N$ on the AdS side. The finite $N$ corrections are included as contributions of D3-branes wrapped around three-cycles in $\boldsymbol{S}^5$, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multiple-wrapping contributions correctly reproduces the higher order terms as far as we have checked numerically.

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Cited by 6 Pith papers

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

  1. Interior zeros of supersymmetric indices

    hep-th 2026-07 accept novelty 7.0 of 10

    Interior zeros of a supersymmetric index exist iff its arithmetic coefficients δ(ν) grow exponentially at rate set by the nearest zero, detectable from finitely many q-series terms.

  2. Equal-charge projection of the $\mathcal{N}=4$ index: exact large-$N$ formula and finite-rank $U(3)$ coefficients

    hep-th 2026-07 accept novelty 7.0 of 10

    Equal-charge projection of the N=4 index admits an exact large-N factorization into a pentagonal prefactor times the cube of the partition function, and finite-rank U(3) coefficients populate the resulting zero interv...

  3. 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.

  4. The giant graviton expansion in AdS$_5\times$SE$_5$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Giant-graviton fluctuations on AdS5 imes SE5 are governed by a conical Fock-Darwin system whose lowest Landau level yields the protected finite-N index of the dual N=1 SCFT for T1,1.

  5. Contour Integral for the Partition Function of $\mathcal{N}=2$ Topologically Twisted on $\mathbb{CP}^2$ and Physical Fluxes

    hep-th 2025-10 conditional novelty 6.0 of 10

    Derives a single-flux contour-integral formula for the N=2 twisted SU(2) partition function on CP^2 and new equivariant invariants reducing to Donaldson invariants.

  6. The Superconformal Index and Black Hole Instabilities

    hep-th 2025-02 reject novelty 5.0 of 10

    The two-angular-momentum superconformal index of N=4 SYM has degeneracy tails beyond the entropy of the single AdS5 black hole, interpreted as grey galaxy signatures.

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