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

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

2004-03-08

arxiv.org/abs/hep-th/0403090v2

Adv.Theor.Math.Phys.9:435-525,2005

Physics

High Energy Physics

High Energy Physics - Theory

88 pages, 2 figures, harvmac; references added

Scientific paper

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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