TY - JOUR

T1 - String universality for permutation orbifolds

AU - Belin, Alexandre

AU - Keller, Christoph A.

AU - Maloney, Alexander

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/5/14

Y1 - 2015/5/14

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.91.106005

DO - 10.1103/PhysRevD.91.106005

M3 - Article

AN - SCOPUS:84934880811

SN - 1550-7998

VL - 91

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

M1 - 106005

ER -