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The giant graviton expansion in $AdS_5 \times S^5$

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arxiv 2312.14921 v4 pith:AN7ONH4L submitted 2023-12-22 hep-th

Giorgos Eleftheriou , Sameer Murthy , Martí Rosselló This is my paper · ORCID
classification hep-th
keywords seriescorrespondingfluctuationsgiantinfiniteintegralmaximalprecisely
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The superconformal index of $\frac12$-BPS states of $N=4$ U(N) super Yang-Mills theory has a known infinite $q$-series expression with successive terms suppressed by $q^N$. We derive a holographic bulk interpretation of this series by evaluating the corresponding functional integral in the dual $AdS_5 \times S^5$. The integral localizes to a product of small fluctuations of the vacuum and of the collective modes of an arbitrary number of giant-gravitons wrapping an $S^3$ of maximal size inside the $S^5$. The quantum mechanics of the small fluctuations of one maximal giant is described by a supersymmetric version of the Landau problem. The quadratic fluctuation determinant reduces to a sum over the supersymmetric ground states, and precisely reproduces the first non-trivial term in the infinite series. Further, we show that the terms corresponding to multiple giants are obtained precisely by the matrix versions of the above super-quantum-mechanics.

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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. 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...

  2. 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.

  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}.

  4. 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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