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

By Sergei Gukov, E. Martinec, G. Moore, Andrew Strominger. 2004

134 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2d7a5980936f4617dca4c767431cf8f03fa6cbd3

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Citations in the corpus

Integrability and the AdS3/CFT2 correspondence (2009, unknown): “The AdS3 × S(3) × S(3) × S(1) geometry is a supergravity solution with sixteen supercharges [29, 30, 31, 32, 33] and can be supported by either NSNS or RR three-form flux.”
Higher spins & strings (2014, background): “For instance, for the case of AdS3×S×S×S, there is, as of now, no consensus candidate CFT dual (see [25] for a summary of the situation and [26] for a recent proposal; important earlier work is described in [27, 28]).”