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

TL;DR

This paper investigates the existence of a holographic conformal field theory dual to string theory on AdS(3)xS(3)xS(3)xS(1), revealing that existing proposals do not match the background's large N=4 superconformal symmetry.

Contribution

It demonstrates that current simple models for holographic duals are incompatible with the large N=4 superconformal symmetry of the background, guiding future research directions.

Findings

All existing simple dual proposals are ruled out by the elliptic genus analysis.

The background's large N=4 symmetry differs from known dual models.

Modifications to current proposals are necessary for a consistent dual.

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.