Line and surface defects for the free scalar field
Lauria, Edoardo, Liendo, Pedro, van Rees, Balt C., Zhao, Xiang
Abstract
For a single free scalar field in $d \geq 2$ dimensions, almost all the unitary conformal defects must be trivial. The only possible exceptions are monodromy defects in $d \geq 4$ and co-dimension three defects in $d \geq 5$. As an intermediate result we show that the $n$-point correlation functions of a conformal theory with a generalized free spectrum must be those of the generalized free theory.
Topics & Concepts
Free fieldConformal mapMonodromyScalar fieldMathematicsUnitary stateScalar (mathematics)Free surfaceDimension (graph theory)Conformal field theoryMathematical physicsField (mathematics)Pure mathematicsTheoretical physicsPhysicsMathematical analysisQuantum mechanicsGeometryPolitical scienceLawBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Chromodynamics and Particle Interactions