The Search for a Holographic Dual to AdS3 × S3 × S3 × S1
Abstract
The problem of finding a holographic CFT dual to string theory on AdS3 × S3 × S3 × S1 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 AdS3 × S3 × K3 and AdS3 × S3 × T4, 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.
- Publication:
-
From Fields to Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection (in 3 Vols). Edited by SHIFMAN MISHA ET AL. Published by World Scientific Publishing Co. Pte. Ltd
- Pub Date:
- 2005
- DOI:
- 10.1142/9789812775344_0035
- arXiv:
- arXiv:hep-th/0403090
- Bibcode:
- 2005ffsc.book.1519G
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 88 pages, 2 figures, harvmac