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Schur index of the ${\cal N}=4$ $U(N)$ SYM via the AdS/CFT correspondence

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arxiv 2001.11667 v2 pith:AMPAJSJ4 submitted 2020-01-31 hep-th

Reona Arai , Shota Fujiwara , Yosuke Imamura , Tatsuya Mori This is my paper · ORCID
classification hep-th
keywords indexcorrespondenceschuragreesanalysesanalyticassumptionsboldsymbol
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the Schur index of the ${\cal N}=4$ $U(N)$ SYM with finite $N$ via the AdS/CFT correspondence as the contribution of D3-branes wrapped on contractible cycles in $\boldsymbol{S}^5$ on some assumptions motivated by preliminary analyses. As far as we have checked numerically it agrees with the index calculated on the gauge theory side. In a certain limit it reproduces the analytic result given by Bourdier, Drukker, and Felix.

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Cited by 4 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. Localization and wall-crossing of giant graviton expansions in AdS$_5$

    hep-th 2025-01 conditional novelty 7.0 of 10

    The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Lan...

  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.

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