Giant Gravitons in Conformal Field Theory

Abstract

Giant gravitons in AdS_5 x S^5, and its orbifolds, have a dual field theory representation as states created by chiral primary operators. We argue that these operators are not single-trace operators in the conformal field theory, but rather are determinants and subdeterminants of scalar fields; the stringy exclusion principle applies to these operators. Evidence for this identification comes from three sources: (a) topological considerations in orbifolds, (b) computation of protected correlators using free field theory and (c) a Matrix model argument. The last argument applies to AdS_7 x S^4 and the dual (2,0) theory, where we use algebraic aspects of the fuzzy 4-sphere to compute the expectation value of a giant graviton operator along the Coulomb branch of the theory.

37 pages, LaTeX, 1 figure. v2: references and acknowledgements added, small corrections

References in corpus (1)

• On spherical harmonics for fuzzy spheres in diverse dimensions

Cited by in corpus (267)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Bubbling AdS space and 1/2 BPS geometries
• Meson Spectroscopy in AdS/CFT with Flavour
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• A toy model for the AdS/CFT correspondence
• Setting the boundary free in AdS/CFT
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Peculiar properties of a charged dilatonic black hole in AdS_5
• PP-wave string interactions from perturbative Yang-Mills theory
• Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• The Library of Babel: On the origin of gravitational thermodynamics
• Black Holes as Effective Geometries
• Holography of the N=1 Higher-Spin Theory on AdS4
• On gravitational description of Wilson lines
• Superstars and Giant Gravitons
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• LSZ in LST
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• On lightcone string field theory from Super Yang-Mills and holography
• Large N BPS states and emergent quantum gravity
• Open Strings from N=4 Super Yang-Mills
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Integrable open spin chains from giant gravitons
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Partition functions and double-trace deformations in AdS/CFT
• Diagonal free field matrix correlators, global symmetries and giant gravitons
• Baryon Spectra and AdS/CFT Correspondence
• Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons
• Supersymmetric probes on the conifold
• Reflecting magnons
• Shape and holography: studies of dual operators to giant gravitons
• Wilson Loops in N=4 SYM and Fermion Droplets
• Nonplanar Integrability
• Counting Chiral Operators in Quiver Gauge Theories
• Giant Graviton Oscillators
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Large N Field Theory and AdS Tachyons
• Giant Graviton Correlators from Dual SU(N) super Yang-Mills Theory
• Giant Gravitons - with Strings Attached (I)
• Holographic three-point functions of giant gravitons
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Finite Factorization equations and Sum Rules for BPS correlators in N=4 SYM theory
• A study of open strings ending on giant gravitons, spin chains and integrability
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• BPS Branes From Baryons
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• A double coset ansatz for integrability in AdS/CFT
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• New stability results for Einstein scalar gravity
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• "Holey Sheets" - Pfaffians and Subdeterminants as D-brane Operators in Large N Gauge Theories
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Surprisingly Simple Spectra
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• Brane Effective Actions, Kappa-Symmetry and Applications
• Entropy of near-extremal black holes in AdS_5
• Classical Open String Integrability
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• Half-BPS Giants, Free Fermions and Microstates of Superstars
• Matrix Model Maps in AdS/CFT
• Stability in Designer Gravity
• Quivers as Calculators: Counting, Correlators and Riemann Surfaces
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Little String Theory and Heterotic/Type II Duality
• Multitrace Deformations of Vector and Adjoint Theories and their Holographic Duals
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Giant gravitons in AdS/CFT (I): matrix model and back reaction
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Quantum geometry and gravitational entropy
• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• Giant gravitons: a collective coordinate approach
• From counting to construction of BPS states in N=4 SYM
• Adventures in Holographic Dimer Models
• From Large N Nonplanar Anomalous Dimensions to Open Spring Theory
• LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
• Schur-Weyl duality as an instrument of Gauge-String duality
• Dynamical Tadpoles, Stringy Cobordism, and the SM from Spontaneous Compactification
• Nonabelian Phenomena on D-branes
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Emergent Threebrane Lattices
• Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
• Non-Supersymmetric Membrane Flows from Fake Supergravity and Multi-Trace Deformations
• Submatrix deconfinement and small black holes in AdS
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• Polyakov formulas for GJMS operators from AdS/CFT
• Fat Magnon
• Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings
• String Interactions in PP-wave from N = 4 Super Yang Mills
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Correlators in Nontrivial Backgrounds
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• Towards the solution to the giant graviton puzzle
• Giants On Deformed Backgrounds
• Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
• Fuzzy Spheres in pp Wave Matrix String Theory
• Correlators, Probabilities and Topologies in N=4 SYM
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Giant gravitons and correlators
• Non-planar Anomalous Dimensions in the sl(2) Sector
• Superposition induced topology changes in quantum gravity
• Absorption of closed strings by giant gravitons
• Permutation Centralizer Algebras and Multi-Matrix Invariants
• From Gravitons to Giants
• Exact Stringy Microstates from Gauge Theories
• Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS(6)
• Open spin chains for giant gravitons and relativity
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• A basis for large operators in N=4 SYM with orthogonal gauge group
• Notes on Giant Gravitons on PP-waves
• Cut-and-join operators and N=4 super Yang-Mills
• Topological Holography: The Example of The D2-D4 Brane System
• Giants and loops in beta-deformed theories
• A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
• (Multi)Matrix Models and Interacting Clones of Liouville Gravity
• The spectrum of tachyons in AdS/CFT
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• The Bethe Ansatz Equations for Reflecting Magnons
• Correlators Of Operators with a Large R-charge
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
• Unstable Giants
• Nonplanar integrability at two loops
• From Schurs to Giants in ABJ(M)
• The Supergravity Dual of the BMN Matrix Model
• Squashed Giants: Bound States of Giant Gravitons
• Free particles from Brauer algebras in complex matrix models
• Sketches of emergent geometry in the gauge/gravity duality
• Emergent classical spacetime from microstates of an incipient black hole
• Complex matrix model duality
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• A prediction for bubbling geometries
• LLM Magnons
• Thermal Giant Gravitons
• BPS coherent states and localization
• Exact Large R-charge Correlators in ABJM Theory
• Y-system for Y=0 brane in planar AdS/CFT
• Beyond the Planar Limit in ABJM
• Multi giant graviton systems, SUSY breaking and CFT
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Multi-Spin Giants
• Half-BPS SU(N) Correlators in N=4 SYM
• Giant Gravitons on Deformed pp-waves
• An Exact Fluctuating 1/2-BPS Configuration
• D1 and D5-brane giant gravitons on $Ad{S}_3\times S^3\times S^3\times S^1$
• Bethe ansatz equations for open spin chains from giant gravitons
• Structure constants of heavy operators in ABJM/ABJ Theory
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• M-Theory Giant Gravitons with C field
• Higher Loop Nonplanar Anomalous Dimensions from Symmetry
• BPS states, conserved charges and centres of symmetric group algebras
• ABJM Dibaryon Spectroscopy
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• BPS operators in $\mathcal{N}=4$ $SO(N)$ super Yang-Mills theory: plethysms, dominoes and words
• Exciting LLM Geometries
• Dielectric 5-Branes and Giant Gravitons in ABJM
• Black Probes of Schrödinger Spacetimes
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
• Integrable Subsectors from Holography
• Multi-matrix models and Noncommutative Frobenius algebras obtained from symmetric groups and Brauer algebras
• On Exponential corrections to the 1/N expansion in two-dimensional Yang Mills theory
• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• Quarter-BPS states, multi-symmetric functions and set partitions
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
• D-Brane Instability as a Large N Phase Transition
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Anomalous Dimensions of Heavy Operators from Magnon Energies
• On the central charge extension of the N=4 SYM spin chain
• Giant gravitons in twisted holography
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• Integrality, Duality and Finiteness in Combinatoric Topological Strings
• Giant graviton expansions and ETW brane
• Central Charges for the Double Coset
• Semiclassical Quantization of Giant Gravitons
• The giant graviton expansion in $Ad{S}_5\times S^5$
• Relation between large dimension operators and oscillator algebra of Young diagrams
• Non-Perturbative String Theory from AdS/CFT
• Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
• Scrambling in Yang-Mills
• Open giant magnons on LLM geometries
• Reversing Renormalization-Group Flows with AdS/CFT
• A giant graviton genealogy
• Permutation invariant Gaussian 2-matrix models
• The four-point function of determinant operators in $\mathcal{N}=4$ SYM
• Correlations vs connectivity in R-charge
• Negative anomalous dimensions in N=4 SYM
• Subleading corrections to the Double Coset Ansatz preserve integrability
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Thermodynamic Geometry: Evolution, Correlation and Phase Transition
• Bubbling AdS and Vacuum String Field Theory
• AdS/CFT, Multitrace Deformations and New Instabilities of Nonlocal String Theories
• Orthogonal Schurs for Classical Gauge Groups
• Gauged fermionic matrix quantum mechanics
• Giant gravitons as probes of gauged supergravity
• Hidden symmetries and Large N factorisation for permutation invariant matrix observables
• Knitting Wormholes by Entanglement in Supergravity
• Thermal Giant Graviton with Non-commutative Dipole Field
• Holography for Tensor models
• Inelastic Magnon Scattering
• Graph duality as an instrument of Gauge-String correspondence
• Semiclassical SL(2) Strings on LLM backgrounds
• Anomalous dimensions from boson lattice models
• Quantum Mechanics of Lowest Landau Level Derived from N=4 SYM with Chemical Potential
• Giant Gravitons in type IIA PP-wave Background
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Novel charges in CFT's
• Giant magnons and non-maximal giant gravitons
• A-D-E Quivers and Baryonic Operators
• S^2 x S^3 geometries in ABJM and giant gravitons
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• Meromorphic Functions and the Topology of Giant Gravitons
• AdS/CFT description of D-particle decay
• Interior analysis, stretched technique and bubbling geometries
• Generating Functions for Giant Graviton Bound States
• Giant graviton interactions and M2-branes ending on multiple M5-branes
• Wrapping effects in supersymmetric gauge theories
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Non-planar operator mixing by Brauer representations
• Excited States of Open Strings From $\mathcal{N}=4$ SYM
• The Giant Graviton Expansion
• Matrix and tensor witnesses of hidden symmetry algebras
• Duality Cascades and Affine Weyl Groups
• Correlation functions of determinant operators in conformal fishnet theory
• From Gauss Graphs to Giants
• Interacting Double Coset Magnons
• Free BMN Correlators With More Stringy Modes
• Rotating Restricted Schur Polynomials
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo
• Kronecker coefficients from algebras of bi-partite ribbon graphs
• Holographic flavor in the gauge/gravity duality
• "Non-renormalization" without supersymmetry
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Holographic dynamics of unstable branes in AdS
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• A generalized dominance ordering for 1/2-BPS states
• Non-Negativity of BMN Two-Point Functions With Three String Modes
• Higher Genus BMN Correlators: Factorization and Recursion Relations
• Backgrounds from Tensor Models: A Proposal
• Interacting Emergent Yang-Mills theory
• A tunneling picture of dual giant Wilson loop
• Eigenvalue Dynamics for Multimatrix Models
• $\mathcal{N}=4$ SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
• BIons in topological string theory
• Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM
• Radial quantization of the 3d CFT and the higher spin/vector model duality
• The Non-melonic Sector of Tensor Models and Gravity
• Aspects of Supersymmetric Gauge Theory and String Theory
• D-branes, gauge/string duality and noncommutative theories
• Open strings on D-branes from ABJM
• Giant Gravitons Intersecting at Angles from Integrable Spin Chains
• Counting paths with Schur transitions
• Searching for strongly coupled AdS matter with multi-trace deformations