Fundamental Strings, Holography, and Nonlinear Superconformal Algebras

Abstract

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest the appearance of nonlinear superconformal algebras, and we show how these arise in the framework of holographic renormalization methods. The nonlinear algebras imply intricate formulas for the central charge, and we show that in the bulk these correspond to an infinite series of quantum gravity corrections. We also makes some comments on the worldsheet sigma-model for strings on AdS_3\times S^2, which is the holographic dual geometry of parallel heterotic strings in five dimensions.

25 pages

References in corpus (35)

• A Stress Tensor for Anti-de Sitter Gravity
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Three-Dimensional Gravity Revisited
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Exact Counting of Black Hole Microstates
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• More Comments on String Theory on AdS_3
• Corrections to macroscopic supersymmetric black-hole entropy
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• R^4 Couplings in M and Type II Theories
• Non-abelian Tensor-multiplet Anomalies
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• How Does a Fundamental String Stretch its Horizon?
• String Theory in Magnetic Monopole Backgrounds
• Partition functions and elliptic genera from supergravity
• Four Dimensional Black Holes in String Theory
• 5D Black Holes and Strings with Higher Derivatives
• Stretching the Horizon of a Higher Dimensional Small Black Hole
• 5D Attractors with Higher Derivatives
• Exact Models of Extremal Dyonic 4D Black Hole Solutions of Heterotic String Theory
• Results of the classification of superconformal algebras in two dimensions
• Fundamental Superstrings as Holograms
• Generating Charge from Diffeomorphisms
• Comments on String Theory on $Ad{S}_3$
• Fundamental Strings and Black Holes
• Nearing the Horizon of a Heterotic String
• Exceptional Superconformal Algebras
• Extended Superconformal Algebras on AdS_{3}
• Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization
• An Index for 2D field theories with large N=4 superconformal symmetry
• Heterotic Coset Models of Microscopic Strings and Black Holes

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• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Near the horizon of 5D black rings
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Fundamental Plasmid Strings and Black Rings
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• Near-horizon brane-scan revived
• Heterotic AdS_3/CFT_2 duality with (0,4) spacetime supersymmetry
• alpha'-corrections and heterotic black holes
• Notes on Superconformal Representations in Two Dimensions
• Emergent Super-Virasoro on Magnetic Branes
• Five-dimensional black holes in heterotic string theory
• Type II Small Stringy Black Holes, Probe Branes and Higher Derivative Interactions
• On 5D Small Black Holes
• Instantons, five-branes and fractional strings
• Kappa symmetric OSp(2|2) WZNW model
• N=4 SYM on K3 and the AdS(3)/CFT(2) Correspondence
• Resolving Gravitational Singularities