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The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)

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arxiv hep-th/0403090 v2 pith:B243TC37 submitted 2004-03-08 hep-th

Sergei Gukov , Emil Martinec , Gregory Moore , Andrew Strominger This is my paper
classification hep-th
keywords holographicbackgrounddualextantlargeproposalsanalogdepth
verification ladder T0 review T1 audit T2 compute T3 formal
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The problem of finding a holographic CFT dual to string theory on AdS(3)xS(3)xS(3)xS(1) is examined in depth. This background supports a large N=4 superconformal symmetry. While in some respects similar to the familiar small N=4 systems on AdS(3)xS(3)xK3 and AdS(3)xS(3)xT4, there are important qualitative differences. Using an analog of the elliptic genus for large N=4 theories we rule out all extant proposals -- in their simplest form -- for a holographic duality to supergravity at generic values of the background fluxes. Modifications of these extant proposals and other possible duals are discussed.

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Cited by 5 Pith papers

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

  1. Covering space maps for $n$-point functions with three long twists

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    Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.

  2. Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model

    hep-th 2025-07 conditional novelty 4.0 of 10

    The authors build a dual harmonic superspace and write the off-shell (0,4) superspace actions, interactions, and ADHM instanton gauge field for the complementary ADHM instanton sigma model.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

  4. Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality

    hep-th 2026-01 unverdicted novelty 2.0 of 10

    Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.

  5. Off-shell Formalism for Ali-Ilahi's ADHM Instanton Sigma Model

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    The paper restates the harmonic superspace off-shell formalism for Ali-Ilahi's complementary ADHM instanton sigma model, originally presented in the same group's companion paper.

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