String universality for permutation orbifolds

Alexandre Belin, Christoph A. Keller, Alexander Maloney

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


The hypothesis that every theory of quantum gravity in AdS3 is a dimensional reduction of string or M theory leads to a natural conjecture for the density of states of two-dimensional CFTs with a large central charge limit. We prove this conjecture for 2D CFTs which are orbifolds by permutation groups. In particular, we characterize those permutation groups which give CFTs with well-defined large N limits and can thus serve as holographic duals to bulk gravity theories in AdS3. We then show that the holographic dual of a permutation orbifold will have a Hagedorn spectrum in the large N limit. This is evidence that, within this landscape, every theory of quantum gravity with a semiclassical limit is a string theory.

Original languageEnglish (US)
Article number106005
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - May 14 2015

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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