Anatomy of bubbling solutions

Abstract

We present a comprehensive analysis of holography for the bubbling solutions of Lin-Lunin-Maldacena. These solutions are uniquely determined by a coloring of a 2-plane, which was argued to correspond to the phase space of free fermions. We show that in general this phase space distribution does not determine fully the 1/2 BPS state of N=4 SYM that the gravitational solution is dual to, but it does determine it enough so that vevs of all single trace 1/2 BPS operators in that state are uniquely determined to leading order in the large N limit. These are precisely the vevs encoded in the asymptotics of the LLM solutions. We extract these vevs for operators up to dimension 4 using holographic renormalization and KK holography and show exact agreement with the field theory expressions.

67 pages, 6 figures; v2: typos corrected, refs added; v3: expanded explanations, more typos corrected

References in corpus (54)

• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Bubbling AdS space and 1/2 BPS geometries
• Holographic Renormalization
• How to go with an RG Flow
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Large branes in AdS and their field theory dual
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• A toy model for the AdS/CFT correspondence
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• The Coulomb Branch of Gauge Theory from Rotating Branes
• Asymptotically Anti-de Sitter spacetimes and their stress energy tensor
• Holography and the Weyl anomaly
• Exact half-BPS Type IIB interface solutions II: Flux solutions and multi-Janus
• Correlation Functions in Holographic RG Flows
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• The Library of Babel: On the origin of gravitational thermodynamics
• Fuzzballs with internal excitations
• Extremal Correlators in the AdS/CFT Correspondence
• Large N BPS states and emergent quantum gravity
• AdS(3) Solutions of IIB Supergravity from D3-branes
• Holographic anatomy of fuzzballs
• Kaluza-Klein Holography
• AdS/CFT correspondence and Geometry
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• Fermions from Half-BPS Supergravity
• Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• OPEs and 3-point correlators of protected operators in N=4 SYM
• Geometry Quantization from Supergravity: the case of "Bubbling AdS"
• Holographic Coulomb branch vevs
• Integrability vs. Information Loss: A Simple Example
• Matrix Model Maps in AdS/CFT
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
• Quantum geometry and gravitational entropy
• LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
• Quadratic action for type IIB supergravity on $Ad{S}_5\times S^5$
• 1/8 BPS States in Ads/CFT
• Rational foundation of GR in terms of statistical mechanic in the AdS/CFT framework
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• Positivity of energy for asymptotically locally AdS spacetimes
• Particle transfer in braneworld collisions
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Quantum Mechanics of Lowest Landau Level Derived from N=4 SYM with Chemical Potential

Cited by in corpus (58)

• The fuzzball proposal for black holes
• Global Structure of Five-dimensional BPS Fuzzballs
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Probing N=4 SYM With Surface Operators
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Matching of correlators in AdS_3/CFT_2
• New D1-D5-P geometries from string amplitudes
• Resolving the Structure of Black Holes: Philosophizing with a Hammer
• Surprisingly Simple Spectra
• Vortex Loop Operators, M2-branes and Holography
• Quantum geometry and gravitational entropy
• From counting to construction of BPS states in N=4 SYM
• Extremal vs. Non-Extremal Correlators with Giant Gravitons
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• Holographic d-wave superconductors
• Correlators in Nontrivial Backgrounds
• Holography of BPS surface operators
• Giant gravitons and correlators
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Superposition induced topology changes in quantum gravity
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• BPS Chaos
• Correlators Of Operators with a Large R-charge
• Generalized entanglement entropy
• Emergent classical spacetime from microstates of an incipient black hole
• Three-charge superstrata with internal excitations
• Maximally Supersymmetric RG Flows in 4D and Integrability
• The electrostatic view on M-theory LLM geometries
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Quarter-BPS states, multi-symmetric functions and set partitions
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
• Exact Holography of the Mass-deformed M2-brane Theory
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Correlations vs connectivity in R-charge
• Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale
• Holographic entanglement entropy of surface defects
• Holographic Construction of Excited CFT States
• Graph duality as an instrument of Gauge-String correspondence
• D-branes and Orbit Average
• Gravity from Entanglement and RG Flow in a Top-down Approach
• Half BPS states in AdS_5 x Y^{p,q}
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Interior analysis, stretched technique and bubbling geometries
• Holographic entanglement entropy and complexity of microstate geometries
• Critical lumpy black holes in AdS${}_p\times S^q$
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states
• Precision holography of AdS${}_5$ bubbling geometries
• Quantum curves as quantum distributions
• Coherent state superpositions, entanglement and gauge/gravity correspondence
• Holography of Massive M2-brane Theory: Non-linear Extension
• Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
• AdS3 Holography for 1/4 and 1/8 BPS geometries
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence