4.7 Article

String universality for permutation orbifolds

Journal

PHYSICAL REVIEW D
Volume 91, Issue 10, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.106005

Keywords

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Funding

  1. Rutgers New High Energy Theory Center
  2. U.S. DOE [DOE-SC0010008, DOE-ARRA-SC0003883, DOE-DE-SC0007897]
  3. Swiss National Science Foundation
  4. National Science and Engineering Council of Canada

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The hypothesis that every theory of quantum gravity in AdS(3) 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 AdS(3). 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.

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