Matrix Model Maps in AdS/CFT

Abstract

We discuss an extension of a map between between BPS states and free fermions. The extension involves states associated with a full two matrix problem which are constructed using a sequence of integral equations. A two parameter set of matrix model eigenstates is then related to states in SUGRA. Their wavefunctions are characterized by nontrivial dependence on the radial coordinate of AdS and of the Sphere respectively. A kernel defining a one to one map between these states is then constructed.

43 pages; references added; typos corrected

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Cited by in corpus (40)

• The Library of Babel: On the origin of gravitational thermodynamics
• AdS_4/CFT_3 Construction from Collective Fields
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Anatomy of bubbling solutions
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Giant Gravitons - with Strings Attached (I)
• 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
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Unstable Giants
• Free particles from Brauer algebras in complex matrix models
• Long String Scattering in c = 1 String Theory
• Instantons, supersymmetric vacua, and emergent geometries
• Notes on Collective Field Theory of Matrix and Spin Calogero Models
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Solitons and giants in matrix models
• Dynamics of chiral primaries in $Ad{S}_3\times S^3\times T^4$
• On Classification Of The Bubbling Geometries
• Laplacians in polar matrix coordinates and radial fermionization in higher dimensions
• BPS Condensates, Matrix Models and Emergent String Theory
• Bubbling AdS and Vacuum String Field Theory
• Finiteness of Entanglement Entropy in Collective Field Theory
• 1/2 BPS Correlator and Free Fermion
• Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction
• Holography for Tensor models
• De Alfaro, Fubini and Furlan from multi Matrix Systems
• Non supersymmetric strong coupling background from the large N quantum mechanics of two matrices coupled via a Yang-Mills interaction
• Interior analysis, stretched technique and bubbling geometries
• Scattering in the adjoint sector of the c = 1 Matrix Model
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states
• "Non-renormalization" without supersymmetry
• Eigenvalue Dynamics for Multimatrix Models
• Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
• Shaping up BPS States with Matrix Model Saddle Points
• Black Hole Production from High Energy Scattering in AdS/CFT