Counting Giant Gravitons in AdS_3

Abstract

We quantize the set of all quarter BPS brane probe solutions in global AdS_3 \times S^3 \times T^4/K3 found in arxiv:0709.1168 [hep-th]. We show that, generically, these solutions give rise to states in discrete representations of the SL(2,R) WZW model on AdS_3. Our procedure provides us with a detailed description of the low energy 1/4 and 1/2 BPS sectors of string theory on this background. The 1/4 BPS partition function jumps as we move off the point in moduli space where the bulk theta angle and NS-NS fields vanish. We show that generic 1/2 BPS states are protected because they correspond to geodesics rather than puffed up branes. By exactly quantizing the simplest of the probes above, we verify our description of 1/4 BPS states and find agreement with the known spectrum of 1/2 BPS states of the boundary theory. We also consider the contribution of these probes to the elliptic genus and discuss puzzles, and their possible resolutions, in reproducing the elliptic genus of the symmetric product.

47 pages; (v2) references and minor clarifications added

References in corpus (35)

• Large N Field Theories, String Theory and Gravity
• An Index for 4 dimensional Super Conformal Theories
• AdS3 Black Holes and a Stringy Exclusion Principle
• The D1/D5 System And Singular CFT
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• More Comments on String Theory on AdS_3
• A New Supersymmetric Index
• Supersymmetric String Solitons
• A Black Hole Farey Tail
• Instanton Strings and HyperKaehler Geometry
• Counting BPS Blackholes in Toroidal Type II String Theory
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• What is the gravity dual of a chiral primary?
• Superstrings on AdS_3 and Symmetric Products
• String Theory on AdS_3
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• String Theory in Magnetic Monopole Backgrounds
• Worldsheet correlators in AdS(3)/CFT(2)
• Partition functions and elliptic genera from supergravity
• Fermions from Half-BPS Supergravity
• D1-D5 black hole microstate counting from supergravity
• Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
• Comments On String Theory
• Large N Elliptic Genus and AdS/CFT Correspondence
• Counting 1/8-BPS Dual-Giants
• Geometry Quantization from Supergravity: the case of "Bubbling AdS"
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• More on Superstrings in AdS(3) x N
• Dual giant gravitons in AdS${}_m$ $\times$ Y${}^n$ (Sasaki-Einstein)
• The Spectrum of Yang Mills on a Sphere
• BRST Quantization of String Theory in AdS(3)
• Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N
• Supersymmetric Giant Graviton Solutions in AdS_3

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• The complete superconformal index for N=6 Chern-Simons theory
• The Worldsheet Dual of the Symmetric Product CFT
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Black Holes as Effective Geometries
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Strings on NS-NS Backgrounds as Integrable Deformations
• Superstrings on AdS3 at k=1
• Quantizing N=2 Multicenter Solutions
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Black hole bound states in AdS_3 x S^2
• A Spin Chain for the Symmetric Product CFT_2
• Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Higher spins on AdS${}_3$ from the worldsheet
• Spectral Flow in AdS(3)/CFT(2)
• Supersymmetric Giant Graviton Solutions in AdS_3
• A Refined Count of BPS States in the D1/D5 System
• Long strings and chiral primaries in the hybrid formalism
• String Junctions and Holographic Interfaces
• The plane-wave spectrum from the worldsheet
• Near-horizon microstates of the D1-D5-P black hole
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Stringy CFT Duals with $\mathcal{N}=(2,2)$ Supersymmetry
• The plane-wave limit of ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2