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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

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

classification hep-th
keywords holographicbackgrounddualextantlargeproposalsanalogdepth
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

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    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.

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    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.