What is the gravity dual of a chiral primary?

Abstract

In the AdS/CFT correspondence a chiral primary is described by a supergravity solution with mass equaling angular momentum. For AdS_3 X S^3 we are led to consider three special families of metrics with this property: metrics with conical defects, Aichelburg-Sexl type metrics generated by rotating particles, and metrics generated by giant gravitons. We find that the first two of these are special cases of the complete family of chiral primary metrics which can be written down using the general solution in hep-th/0109154, but they correspond to two extreme limits - the conical defect metrics map to CFT states generated by twist operators that are all identical, while the Aichelburg-Sexl metrics yield a wide dispersion in the orders of these twists. The giant graviton solutions in contrast do not represent configurations of the D1-D5 bound state; they correspond to fragmenting this system into two or more pieces. We look at the large distance behavior of the supergravity fields and observe that the excitation of these fields is linked to the existence of dispersion in the orders and spins of the twist operators creating the chiral primary in the CFT.

arXiv comment33 pages, Latex, 3 figures

References in corpus (25)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• AdS3 Black Holes and a Stringy Exclusion Principle
• The D1/D5 System And Singular CFT
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• AdS/CFT duality and the black hole information paradox
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Large branes in AdS and their field theory dual
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• SUSY and Goliath
• Metric of the multiply wound rotating string
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• A New Class of Exact Solutions in String Theory
• U(1) Charges and Moduli in the D1-D5 System
• Vibration modes of giant gravitons
• Giant Gravitons, BPS bounds and Noncommutativity
• Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Generalised chiral null models and rotating string backgrounds
• Giant Gravitons and a Correspondence Principle

Cited by in corpus (89)

• An Infalling Observer in AdS/CFT
• The fuzzball proposal for black holes
• Supersymmetric black rings and three-charge supertubes
• Gravity solutions for the D1-D5 system with angular momentum
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Fuzzballs with internal excitations
• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Microscopic Description of Black Rings in AdS/CFT
• Holographic anatomy of fuzzballs
• Geometry of D1-D5-P bound states
• Radiation from the non-extremal fuzzball
• Quantizing N=2 Multicenter Solutions
• Massless black holes and black rings as effective geometries of the D1-D5 system
• Three Charge Supertubes and Black Hole Hair
• Black hole bound states in AdS_3 x S^2
• Momentum Fractionation on Superstrata
• Partition functions and elliptic genera from supergravity
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• A Spin Chain for the Symmetric Product CFT_2
• Smooth geometries with four charges in four dimensions
• Splitting hairs of the three charge black hole
• Strong deflection gravitational lensing by a modified Hayward black hole
• Partition functions of the tensionless string
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• General 2 charge geometries
• Non-supersymmetric microstates of the D1-D5-KK system
• Supercharging Superstrata
• Superdescendants of the D1D5 CFT and their dual 3-charge geometries
• A class of BPS time-dependent 3-charge microstates from spectral flow
• One Ring to Rule Them All ... and in the Darkness Bind Them?
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Effect of the deformation operator in the D1D5 CFT
• Entropy of near-extremal black holes in AdS_5
• Spacetime in String Theory
• A Critique of the Fuzzball Program
• Microstates at the boundary of AdS
• AdS${}_3$ Holography at Dimension Two
• Stringy Structure at the BPS Bound
• Counting Giant Gravitons in AdS_3
• Bubbling AdS3
• A rough end for smooth microstate geometries
• Rational foundation of GR in terms of statistical mechanic in the AdS/CFT framework
• Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n
• Towards the solution to the giant graviton puzzle
• Doubly-Fluctuating BPS Solutions in Six Dimensions
• Coarse-graining 1/2 BPS geometries of type IIB supergravity
• Black Rings with Varying Charge Density
• The Cheshire Cap
• The Gravitational Description of Coarse Grained Microstates
• Hair-brane Ideas on the Horizon
• On the BPS sector in AdS_3/CFT_2 Holography
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• D1D5 microstate geometries from string amplitudes
• Over-Rotating Black Holes, Godel Holography and the Hypertube
• What is the dual of a dipole?
• The supergravity fields for a D-brane with a travelling wave from string amplitudes
• Bubbling 1/2 BPS solutions of minimal six-dimensional supergravity
• Non-supersymmetric Microstates of the MSW System
• Superfield theory and supermatrix model
• Stringy origin of 4d black hole microstates
• Revisiting the D1/D5 System or Bubbling in AdS_3
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Supersymmetric Giant Graviton Solutions in AdS_3
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Kinematic space for conical defects
• Supersymmetric D-branes in the D1-D5 background
• Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions
• Shockwaves in black hole microstate geometries
• Dynamics of chiral primaries in $Ad{S}_3\times S^3\times T^4$
• New Supergravity Solutions for Branes in AdS_3 x S^3
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• On the Spectrum of Pure Higher Spin Gravity
• Tachyon condensation and `bounce' in the D1-D5 system
• The first law of differential entropy and holographic complexity
• Black Strings, Black Rings and State-space Manifold
• Dynamics of supertubes
• Supergravity Solutions for $Ad{S}_3\times S^3$ branes
• Gravitational Waves in String theory in Anti-de Sitter Background
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• Information recovery from pure state geometries in 3D
• Fractionated Branes and Black Hole Interiors
• Black hole microstates from branes at angle
• Unwinding of strings thrown into a fuzzball
• Coarse-graining of bubbling geometries and the fuzzball conjecture
• Absorption of a Quantum in a D1/D5 System
• AdS3 Holography for 1/4 and 1/8 BPS geometries
• Black Holes in String Theory
• Quantum Information Approaches to Quantum Gravity