Search for a holographic dual to $\textit{AdS}_3\times S^3\times S^3\times S^1$

Abstract

The problem of finding a holographic dual to string theory on AdS 3 × S 3 × S 3 × S 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 × S 3 × K3 and AdS 3 × S 3 × T 4 , there are important qualitative differences.Using an analogue of the elliptic genus for large N = 4 theories we rule out all extant proposalsin 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.

Locations

• Advances in Theoretical and Mathematical Physics - View - PDF
• CaltechAUTHORS (California Institute of Technology) - View - PDF