String Universality for Permutation Orbifolds

Abstract

The hypothesis that every theory of quantum gravity in AdS_3 is a dimensional reduction of string/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 semi-classical limit is a string theory.

19 pages

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Cited by in corpus (35)

• Bounding the Space of Holographic CFTs with Chaos
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• 2D CFT Partition Functions at Late Times
• Higher-point conformal blocks and entanglement entropy in heavy states
• Fast Conformal Bootstrap and Constraints on 3d Gravity
• Charged structure constants from modularity
• High-Temperature Expansion of Supersymmetric Partition Functions
• Modular crossings, OPE coefficients and black holes
• Genus Two Partition Functions and Renyi Entropies of Large c CFTs
• Chaos and pole skipping in CFT${}_2$
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
• The Spectrum of Boundary States in Symmetric Orbifolds
• Emergent space-time and the supersymmetric index
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• Moduli Stabilisation and the Holographic Swampland
• Permutation Orbifolds and Chaos
• The Stranger Things of Symmetric Product Orbifold CFTs
• A Refined Count of BPS States in the D1/D5 System
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• Permutation Orbifolds in the large N Limit
• Transport across interfaces in symmetric orbifolds
• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
• Component twist method for higher twists in D1D5 CFT
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• The symmetric orbifold of N=2 minimal models
• Thermofield dynamics and Gravity
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$
• Renyi Entropies, the Analytic Bootstrap, and 3D Quantum Gravity at Higher Genus
• Computation Of Some Zamolodchikov Volumes, With An Application
• Stringy Symmetries and the Higher Spin Square
• Limits of Vertex Algebras and Large N Factorization
• Universality in the OPE Coefficients of Holographic 2d CFTs
• Monstrous Product CFTs in the Grand Canonical Ensemble