$\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack

Abstract

We explore large-$N$ symmetric orbifolds of the $\mathcal{N}=2$ minimal models, and find evidence that their moduli spaces each contain a supergravity point. We identify single-trace exactly marginal operators that deform them away from the symmetric orbifold locus. We also show that their elliptic genera exhibit slow growth consistent with supergravity spectra in AdS${}_3$. We thus propose an infinite family of new holographic CFTs.

arXiv comment25 pages + appendices, v2: minor changes, v3: version as published in Scipost, v4: minor typos in Appendix A corrected

References in corpus (52)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• A bound on chaos
• Entanglement entropy and conformal field theory
• Holography from Conformal Field Theory
• The D1/D5 System And Singular CFT
• On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Microscopic Formulation of Black Holes in String Theory
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Minimal Model Holography
• The Worldsheet Dual of the Symmetric Product CFT
• Correlation functions for M^N/S_N orbifolds
• Higher Spins & Strings
• More on Supersymmetric and 2d Analogs of the SYK Model
• On the Landau-Ginzburg Description of $N=2$ Minimal Models
• Multiple-Trace Operators and Non-Local String Theories
• Diagrams for Symmetric Product Orbifolds
• Instanton Strings and HyperKaehler Geometry
• Einstein gravity 3-point functions from conformal field theory
• Elliptic Genera and N=2 Superconformal Field Theory
• The Gravity Dual of the Ising Model
• Sphere Packing and Quantum Gravity
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• Large N Elliptic Genus and AdS/CFT Correspondence
• Duality in N=2 minimal model holography
• String Universality for Permutation Orbifolds
• Phase transitions in symmetric orbifold CFTs and universality
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• Permutation orbifolds and holography
• Fast Conformal Bootstrap and Constraints on 3d Gravity
• Einstein gravity from ANEC correlators
• Ramond Sector Characters and N=2 Landau-Ginzburg Models
• Strange Metals in One Spatial Dimension
• Genus Two Partition Functions and Renyi Entropies of Large c CFTs
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Emergent space-time and the supersymmetric index
• Elliptic Genera and 3d Gravity
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• $U(1{)}^m$ modular invariants, N=2 minimal models, and the quantum Hall effect
• Permutation Orbifolds and Chaos
• On the complete classification of the unitary N=2 minimal superconformal field theories
• A Refined Count of BPS States in the D1/D5 System
• The Holographic Landscape of Symmetric Product Orbifolds
• The Most Irrational Rational Theories
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
• The symmetric orbifold of N=2 minimal models
• Explicitly Broken Supersymmetry with Exactly Massless Moduli

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• The Spectrum of Boundary States in Symmetric Orbifolds
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• The Stranger Things of Symmetric Product Orbifold CFTs
• Transport across interfaces in symmetric orbifolds
• Wrapped Fivebranes Redux
• The onset of quantum chaos in disordered CFTs
• Coupled minimal models revisited II: Constraints from permutation symmetry
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Conformal field theories dual to quantum gravity with strongly coupled matter
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Gravitating spinning strings in AdS${}_3$
• The Grassmannian VOA
• A New Supersymmetry Index for the D1-D5 CFT
• Searching for strongly coupled AdS matter with multi-trace deformations
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality