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Analytic continuation for giant gravitons

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arxiv 2205.14615 v2 pith:Z7FJ7TSS submitted 2022-05-29 hep-th

Yosuke Imamura This is my paper · ORCID
classification hep-th
keywords giantgravitonscontinuationindexanalyticchangecontributionsfugacities
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the index as a series of fugacities and the variable change relates different convergence regions, we need an analytic continuation before summing up such contributions. We propose a systematic prescription for the continuation. Although our argument is based on some unproved assumptions, it passes non-trivial numerical checks for some examples. With the prescription we can calculate the indices of the M5-brane theories from those of the M2-brane theories, and vice versa.

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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. 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.

  4. 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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