Quadratic Twist-Noncommutative Gauge Theory
Tim Meier, Stijn J. van Tongeren
Abstract
Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action for Yang-Mills theory on a quadratically noncommutative spacetime, i.e., of quantum-plane type, obtained from a Drinfeld twist, with star-gauge symmetry. Applied to supersymmetric Yang-Mills theory, this gives a candidate AdS/CFT dual of string theory on a related deformation of AdS_{5}×S^{5}, which is expected to be integrable in the planar limit.
Topics & Concepts
Noncommutative geometryNoncommutative quantum field theoryPhysicsMathematical physicsNoncommutative algebraic geometryStar productYang–Mills theoryQuantum differential calculusString theoryGauge theoryGauge symmetryTheoretical physicsMathematicsPure mathematicsNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories