Advances in Theoretical and Mathematical Physics

Volume 9 (2005)

Number 3

Search for a holographic dual to AdS3×S3×S3×S1

Pages: 435 – 525

DOI: https://dx.doi.org/10.4310/ATMP.2005.v9.n3.a3

Authors

Sergei Gukov

Emil Martinec

Gregory Moore

Andrew Strominger

Abstract

The problem of finding a holographic dual to string theory on AdS3ק3ק3ק1 is examined in depth. This background supports a large \CN=4 superconformal symmetry. While in some respects similar to the familiar small \CN=4 systems on AdS3ק3×K3 and AdS3ק3×T4, there are important qualitative differences. Using an analogue of the elliptic genus for large \CN=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.

Published 1 January 2005