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

Sergei Gukov, Emil Martinec, Gregory Moore, Andrew Strominger

Research output: Contribution to journalArticlepeer-review

91 Scopus citations


The problem of finding a holographic 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 × T 4, there are important qualitative differences. Using an analogue 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.

Original languageEnglish (US)
Pages (from-to)435-525
Number of pages91
JournalAdvances in Theoretical and Mathematical Physics
Issue number3
StatePublished - Jun 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)


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