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Fivebranes from gauge theory

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arxiv hep-th/0509235 v3 pith:ZAJTAUYU submitted 2005-09-30 hep-th

Hai Lin , Juan Maldacena This is my paper · ORCID
classification hep-th
keywords millsyangsupertheoriestheoryclasssometimes
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study theories with sixteen supercharges and a discrete energy spectrum. One class of theories has symmetry group $SU(2|4)$. They arise as truncations of ${\cal N}=4$ super Yang Mills. They include the plane wave matrix model, 2+1 super Yang Mills on $R \times S^2$ and ${\cal N}=4$ super Yang Mills on $R \times S^3/Z_k$. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry that are relevant for the study of some 1/2 BPS and near BPS states. This leads to a class of two dimensional (4,4) supersymmetric sigma models with non-zero $H$ flux, including a massive deformed WZW model. We show how to match some features of the string spectrum with the Yang Mills theory. The other class of theories are also connected to ${\cal N}=4$ super Yang Mills and arise by making some of the transverse scalars compact. Their vacua are characterized by a 2d Yang Mills theory or 3d Chern Simons theory. These theories realize peculiar superpoincare symmetry algebras in 2+1 or 1+1 dimensions with "non-central" charges. We finally discuss gravity duals of ${\cal N}=4$ super Yang Mills on $AdS_3 \times S^1$.

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Forward citations

Cited by 10 Pith papers

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

  1. The AdS/$\mathsf{C}$-$\mathsf{P}$-${\mathsf T}$ Correspondence

    hep-th 2025-07 conditional novelty 8.0 of 10

    N=4 super Yang-Mills has P and T symmetries that mix with CP and CT under S-duality, and these map to specific worldsheet and geometric symmetries of Type IIB string theory.

  2. Derivation of the NS5-brane limit of the plane wave matrix model

    hep-th 2026-07 accept novelty 7.0 of 10

    A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.

  3. Einstein gravity from a matrix integral -- Part II

    hep-th 2024-11 conditional novelty 7.0 of 10

    Exact localization results for polarized IKKT reveal a divergence in the Ω to 0 limit that is distinct from IKKT, and the large-N eigenvalue dynamics match the electrostatic problem underlying the dual IIB supergravit...

  4. Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    Wave chaos in BPS microstate geometries strengthens toward black-hole-like throats while geodesic chaos weakens, and weak-coupling CFT Renyi entropies do not share that bulk hierarchy.

  5. Krylov Complexity for Plane Wave Matrix Model

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In reduced BMN matrix models, Lanczos coefficients scale linearly with the mass parameter, producing quadratic corrections to early-time Krylov complexity growth at the same order for both state and operator versions.

  6. Finite-$N$ BMN index across all vacuum sectors

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Finite-N BMN index summed over all vacuum sectors for N≤9 reveals order-N² entropy growth that survives the sum and dominance switching from single- to double-partition sectors starting at N=5.

  7. Time-reversal invariant TQFTs from self-mirror symmetric SCFTs

    hep-th 2024-12 conditional novelty 6.0 of 10

    Self-mirror symmetric Abelian 3d N=4 SCFTs deform to time-reversal invariant Abelian Chern-Simons theories, with a charge-matrix constraint Q Omega Q^T = 0 governing the correspondence.

  8. 3d $\mathcal{N}=4$ Mirror Symmetry, TQFTs, and 't Hooft Anomaly Matching

    hep-th 2024-12 conditional novelty 6.0 of 10

    Universal mass deformations of 3d N=4 Abelian gauge theories flow to Abelian spin Chern-Simons TQFTs, with mirror symmetry descending to proven level-rank dualities and 't Hooft anomalies matched via vison fractionalization.

  9. Finite-temperature phase diagram of the BMN matrix model on the lattice

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

  10. Krylov complexity and spectral density of BMN matrix model

    hep-th 2026-07 reject novelty 5.0 of 10

    Using Krylov techniques on the BMN matrix model, the paper derives moment and spectral-function structures at large mass, claiming IR-divergent spectral density and linear entropy growth.

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