Large N Elliptic Genus and AdS/CFT Correspondence

Abstract

According to one of Maldacena's dualities, type IIB string theory on AdS_3 X S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3^N/S_N.

13 pages, LaTeX

Cited by in corpus (56)

• AdS/CFT duality and the black hole information paradox
• The complete superconformal index for N=6 Chern-Simons theory
• On stringy AdS_5 x S^5 and higher spin holography
• A Farey Tail for Attractor Black Holes
• Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
• Proving the PP-Wave/CFT_2 Duality
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Exploring de Sitter Space and Holography
• On the spectrum of AdS/CFT beyond supergravity
• Giant Gravitons, BPS bounds and Noncommutativity
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• A bound on the entropy of supergravity?
• TsT, $T\bar{T}$ and black strings
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• String Universality for Permutation Orbifolds
• Correlators of the symmetric product orbifold
• Holomorphic Waves of Black Hole Microstructure
• Moulting Black Holes
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Superstrata
• Lifting of D1-D5-P states
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Kaluza-Klein supergravity on AdS_3 x S^3
• Three-point functions in AdS${}_3$/CFT${}_2$ holography
• Counting Giant Gravitons in AdS_3
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• Counting Superstrata
• Elliptic Genera and 3d Gravity
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• On the BPS sector in AdS_3/CFT_2 Holography
• What is the dual of a dipole?
• Supergravity Duals of Matrix String Theory
• The Stranger Things of Symmetric Product Orbifold CFTs
• The Holographic Landscape of Symmetric Product Orbifolds
• Conceptual Analysis of Black Hole Entropy in String Theory
• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
• Walls from fluxes: An analytic RG-flow
• Superstrings in Thermal Anti-de Sitter Space
• Quantum Corrections to Central Charges and Supersymmetric Casimir Energy in AdS${}_3$/CFT${}_2$
• A Note on Classical String Dynamics on AdS_3
• Twisted holography on AdS${}_3\times S^3\times K3$ & the planar chiral algebra
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• Fortuity and Supergravity
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• Symmetries of the refined D1/D5 BPS spectrum
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Superstrata on Orbifolded Backgrounds
• On tensionless string field theory in AdS${}_3$
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• A New Supersymmetry Index for the D1-D5 CFT
• Structure of the $\mathcal{N}=4$ chiral algebra
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• The Resolved Elliptic Genus and the D1-D5 CFT