Bubbling AdS space and 1/2 BPS geometries

Abstract

We consider all 1/2 BPS excitations of $AdS\times S$ configurations in both type IIB string theory and M-theory. In the dual field theories these excitations are described by free fermions. Configurations which are dual to arbitrary droplets of free fermions in phase space correspond to smooth geometries with no horizons. In fact, the ten dimensional geometry contains a special two dimensional plane which can be identified with the phase space of the free fermion system. The topology of the resulting geometries depends only on the topology of the collection of droplets on this plane. These solutions also give a very explicit realization of the geometric transitions between branes and fluxes. We also describe all 1/2 BPS excitations of plane wave geometries. The problem of finding the explicit geometries is reduced to solving a Laplace (or Toda) equation with simple boundary conditions. We present a large class of explicit solutions. In addition, we are led to a rather general class of $Ad{S}_5$ compactifications of M-theory preserving $\mathcal{N}=2$ superconformal symmetry. We also find smooth geometries that correspond to various vacua of the maximally supersymmetric mass-deformed M2 brane theory. Finally, we present a smooth 1/2 BPS solution of seven dimensional gauged supergravity corresponding to a condensate of one of the charged scalars.

66 pages, 9 figures, latex, v2: Typos fixed, discussion on 2d QCD added

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• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• On Half-BPS States of the ABJM Theory
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• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
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• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
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• Strings on Bubbling Geometries
• Small Black holes vs horizonless solutions in AdS
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• Semi-classical Probe Strings on Giant Gravitons Backgrounds
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• Anomalous Dimensions of Heavy Operators from Magnon Energies
• A Type IIB Matrix Model via non-Abelian T-dualities
• Giant graviton expansions and ETW brane
• Microstate Dependence of Scattering from the D1-D5 System
• Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
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• On generalised D1-D5 near horizons and their spectra
• Excitations of bubbling geometries for line defects
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Laplacians in polar matrix coordinates and radial fermionization in higher dimensions
• The emergence of noncommutative target space in noncritical string theory
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• The giant graviton expansion in $Ad{S}_5\times S^5$
• Relation between large dimension operators and oscillator algebra of Young diagrams
• D-Brane Potentials from Multi-Trace Deformations in AdS/CFT
• Young diagrams, Brauer algebras, and bubbling geometries
• Metastability in Bubbling AdS Space
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Discrete scale invariance in holography revisited
• Corrections in the relative entropy of black hole microstates
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Gravity duals of N=2 SCFTs and asymptotic emergence of the electrostatic description
• Tensor models and 3-ary algebras
• Non-Perturbative String Theory from AdS/CFT
• Scrambling in Yang-Mills
• N = 2 SCFTs: An M5-brane perspective
• Open giant magnons on LLM geometries
• Linear Quivers at Large-$N$
• The quantum detection of projectors in finite-dimensional algebras and holography
• A giant graviton genealogy
• Pseudo-Killing Spinors, Pseudo-supersymmetric p-branes, Bubbling and Less-bubbling AdS Spaces
• Thermal N = 4 SYM theory as a 2D Coulomb gas
• Mink${}_3\times S^3$ solutions of type II supergravity
• Coarse-Graining the Lin-Maldacena Geometries
• Bubbling AdS and Vacuum String Field Theory
• Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale
• Holographic entanglement entropy of surface defects
• The four-point function of determinant operators in $\mathcal{N}=4$ SYM
• BPS Condensates, Matrix Models and Emergent String Theory
• Kutasov-like duality from D5-branes wrapping hyperbolic cycles
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Correlations vs connectivity in R-charge
• New Supersymmetric Solutions in N=2 Matter Coupled AdS_3 Supergravities
• Holographic Construction of Excited CFT States
• The gravity duals of SO/USp superconformal quivers
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Linearizing the BPS Equations with Vector and Tensor Multiplets
• Statistical Physics of the Polarised IKKT Matrix Model
• Gauged fermionic matrix quantum mechanics
• 1/2 BPS Correlator and Free Fermion
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• Deformations of flows from type IIB supergravity
• AdS Wormholes
• Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction
• Graph duality as an instrument of Gauge-String correspondence
• Phases of Thermal N=2 Quiver Gauge Theories
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Phase Space Distribution for Two-Gap Solution in Unitary Matrix Model
• Quantization of charges and fluxes in warped Stenzel geometry
• Orbifold ETW brane and half-indices
• Holographic Generalised Gukov-Witten Defects
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Finite N Quiver Gauge Theory
• AdS Q-Soliton and Inhomogeneously mass-deformed ABJM Model
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Holography for Tensor models
• Some half-BPS solutions of M-theory
• Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
• Half-BPS Geometries and Thermodynamics of Free Fermions
• M2-M5 giant graviton expansions
• Emergent Area Laws from Entangled Matrices
• Anomalous dimensions from boson lattice models
• D-branes and Orbit Average
• String junctions suspended between giants
• Quadratic alpha' corrections to T-duality
• Half BPS states in AdS_5 x Y^{p,q}
• Large-N transitions of the connectivity index
• On dilatation operator for a renormalizable theory
• Beyond LLM in M-theory
• S^2 x S^3 geometries in ABJM and giant gravitons
• Non supersymmetric strong coupling background from the large N quantum mechanics of two matrices coupled via a Yang-Mills interaction
• Baby Universes born from the Void
• New BPS Configurations of BMN Matrix Theory
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• On the existence of supergravity duals to D1--D5 CFT states
• Complexity and Operator Growth in Holographic 6d SCFTs
• De Alfaro, Fubini and Furlan from multi Matrix Systems
• Interior analysis, stretched technique and bubbling geometries
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• Accelerating universe emergent from the landscape
• Generating Functions for Giant Graviton Bound States
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• On black holes as macroscopic quantum objects
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface
• 1/2-BPS Correlators as c=1 S-matrix
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• Target space entanglement in a matrix model for the bubbling geometry
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Interacting Double Coset Magnons
• Giant Spinons
• Oscillating Multiple Giants
• Matrix and tensor witnesses of hidden symmetry algebras
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Semiclassical Strings Probing NS5 Brane Wrapped on S^5
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• Non-planar operator mixing by Brauer representations
• Contour deformation trick in hybrid NLIE
• Chronology Protection in AdS/CFT
• All 1/2 BPS solutions of IIB supergravity with SO(4) x SO(4) isometry
• On the origin of the holographic universe
• BPS R-balls in N=4 SYM on R X S^3, Quantum Hall Analogy and AdS/CFT Holography
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states
• Holography of Massive M2-brane Theory with Discrete Torsion
• On Toda Equation and Half BPS Supergravity Solution in M-Theory
• Mapping the G-structures and supersymmetric vacua of five-dimensional N=4 supergravity
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo
• "Non-renormalization" without supersymmetry
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Partially Supersymmetric ABJM Theory with Flux
• Instabilities of microstate geometries with antibranes
• Precision holography of AdS${}_5$ bubbling geometries
• $\mathcal{N}=4$ SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
• Probing Black Hole Microstate Evolution with Networks and Random Walks
• Generalized Hot Attractors
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• KK6 from M2 in ABJM
• Quantum curves as quantum distributions
• Witten index of BMN matrix quantum mechanics
• Eigenvalue Dynamics for Multimatrix Models
• Geometric Surprises in the Python's Lunch Conjecture
• Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
• Coherent state superpositions, entanglement and gauge/gravity correspondence
• A generalized dominance ordering for 1/2-BPS states
• Wrapped M5-branes and AdS${}_5$ Black Holes
• Coarse-graining of bubbling geometries and the fuzzball conjecture
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Minisuperspace quantization of bubbling AdS${}_2\times$S${}^2$ geometries
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Lifshitz and Schrodinger Vacua, Superstar Resolution in Gauged Maximal Supergravities
• BPS Solutions in AdS/CFT
• Multi-trace Correlators from Permutations as Moduli Space
• Shaping up BPS States with Matrix Model Saddle Points
• Thermal Phase in Bubbling Geometries
• Black Hole Production from High Energy Scattering in AdS/CFT
• Row and column detection complexities of character tables
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory
• A Universal Behavior of Half BPS Probes in the Superstar Ensemble
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Marginally deformed AdS${}_5$/CFT${}_4$ Backgrounds in Type IIB
• The Hot Attractor Mechanism: Decoupling Without Deep Throats
• BIons in topological string theory
• Tiny Graviton Matrix Theory On Time-Dependent Background
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• The M2/M5 BPS Partition Functions from Supergravity
• A Charge Constraint in BMN
• On the existence of the NS5-brane limit of the plane wave matrix model
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory