Feynman diagrams and $Ω$-deformed M-theory
Jihwan Oh, Yehao Zhou
Abstract
We derive the simplest commutation relations of operator algebras associated to M2 branes and an M5 brane in the \Omega <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>Ω</mml:mi> </mml:math> -deformed M-theory, which is a natural set-up for Twisted holography. Feynman diagram 1-loop computations in the twisted-holographic dual side reproduce the same algebraic relations.
Topics & Concepts
Feynman diagramHolographyAlgebraic numberMathematical physicsOperator (biology)DiagramComputationAlgebraic structurePhysicsMathematicsAlgebra over a fieldPure mathematicsQuantum mechanicsAlgorithmMathematical analysisStatisticsGeneTranscription factorRepressorBiochemistryChemistryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories