Three point amplitudes in matrix theory
Aidan Herderschee, Juan Maldacena
Abstract
Abstract We compute the three graviton amplitude in the Banks-Fischler-Shenker-Susskind matrix model for M-theory. Even though the three point amplitude is determined by super Poincare invariance in eleven dimensional M-theory, it requires a non-trivial computation in the matrix model. We consider a configuration where all three gravitons carry non-zero longitudinal momentum. To simplify the problem, we compactify one additional dimension and relate the amplitude to a supersymmetric index computation. We find agreement with the expected answer even at finite values of N .
Topics & Concepts
GravitonComputationAmplitudeMatrix (chemical analysis)Mathematical physicsMatrix modelZero (linguistics)Dimension (graph theory)Point (geometry)MathematicsPhysicsMathematical analysisTheoretical physicsPure mathematicsClassical mechanicsQuantum mechanicsGeometryGravitationAlgorithmMaterials scienceLinguisticsPhilosophyString (physics)Composite materialBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies