String universality for permutation orbifolds

Alexandre Belin, Christoph A. Keller, and Alexander Maloney
Phys. Rev. D 91, 106005 – Published 14 May 2015

Abstract

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.

  • Received 2 March 2015

DOI:https://doi.org/10.1103/PhysRevD.91.106005

© 2015 American Physical Society

Authors & Affiliations

Alexandre Belin1,*, Christoph A. Keller2,†, and Alexander Maloney1,‡

  • 1Department of Physics, McGill University, H3A 2T8 Montréal, Québec, Canada
  • 2NHETC, Rutgers, The State University of New Jersey, 08854 Piscataway, New Jersey, USA

  • *alexandre.belin@mail.mcgill.ca
  • keller@physics.rutgers.edu
  • maloney@physics.mcgill.ca

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Issue

Vol. 91, Iss. 10 — 15 May 2015

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