Linearized supergravity from Matrix theory

Abstract

We show that the linearized supergravity potential between two objects arising from the exchange of quanta with zero longitudinal momentum is reproduced to all orders in 1/r by terms in the one-loop Matrix theory potential. The essential ingredient in the proof is the identification of the Matrix theory quantities corresponding to moments of the stress tensor and membrane current. We also point out that finite-N Matrix theory violates the equivalence principle.

13 pages, LaTex, v2: additional comments mostly in section 6

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• Review of Matrix Theory
• Branes probing black holes
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• D-brane effective field theory from string field theory
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
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• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
• A Microscopical Description of Giant Gravitons
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• Matrix embeddings on flat $R^3$ and the geometry of membranes
• On the Dielectric Effect for Gravitational Waves
• Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit
• Nonabelian Phenomena on D-branes
• Absorption of dilaton partial waves by D3-branes
• Matrix Strings in Weakly Curved Background Fields
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Strings between branes
• The M(atrix) model of M-theory
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• Branes in the bulk of Anti-de Sitter space
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• The shape of nonabelian D-branes
• String states, loops and effective actions in noncommutative field theory and matrix models
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Three Graviton Scattering in M-Theory
• Open Dielectric Branes
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• An extended standard model and its Higgs geometry from the matrix model
• Matrix Theory on ALE Spaces and Wrapped Membranes
• Supergravity Couplings of Noncommutative D-branes
• Scaling similarities and quasinormal modes of D0 black hole solutions
• Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• Type II pp-wave Matrix Models from Point-like Gravitons
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• Conservation of Supergravity Currents from Matrix Theory
• On the supersymmetric effective action of Matrix theory
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• Brane compactifications and 4-dimensional geometry in the IKKT model
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Gravity and compactified branes in matrix models
• On the Supergravity Gauge theory Correspondence and the Matrix Model
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• Statistical Origin of Black Hole Entropy in Matrix Theory
• Matrix Thermalization
• Is Physics in the Infinite Momentum Frame Independent of the Compactification Radius?
• Three-graviton scattering in Matrix theory revisited
• The curvature of branes, currents and gravity in matrix models
• On Non-Abelian Structure From Matrix Coordinates
• Supermembranes and Super Matrix Models
• On The Interaction Of D0-Brane Bound States And RR Photons
• Linear responses of D0-branes via gauge/gravity correspondence
• A Proposal on Some Microscopic Aspects of the AdS/CFT Duality
• A Quantum Mechanical Model of Spherical Supermembranes
• Probing a D6 + D0 state with D6-branes: SYM - Supergravity correspondence at subleading level
• Entanglement Entropy for the Black 0-Brane
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• Some comments about Schwarzschield black holes in Matrix theory
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• Twisting BFSS & IKKT
• Dissolving D0-brane into D2-brane with background B-field
• Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}
• Boundary state of multiple D0-branes and closed string coupling
• Supersymmetric action of multiple D0-branes from Matrix theory