All Tree-Level Correlators for M Theory on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
Luis F. Alday, Xinan Zhou
Abstract
We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on AdS_{7}×S^{4}. These correlators correspond to four-point functions of arbitrary one-half BPS operators in the six-dimensional (2,0) theory at large central charge. The crucial observation is that the polar part of the correlators in Mellin space is fully captured by a drastically simpler maximally R-symmetry violating amplitude, while the contact part is fully fixed by superconformal Ward identities and the flat space limit.
Topics & Concepts
PhysicsTree (set theory)Mathematical physicsAmplitudeSpace (punctuation)Symmetry (geometry)SupergravityCharge (physics)Point (geometry)CombinatoricsParticle physicsQuantum mechanicsSupersymmetryComputer scienceGeometryMathematicsOperating systemBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies