Abstract
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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