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

References in corpus (2)

• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Giant gravitons in AdS/CFT (I): matrix model and back reaction

Cited by in corpus (572)

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