Line and surface defects for the free scalar field
Edoardo Lauria, Pedro Liendo, Balt C. van Rees, Xiang Zhao
Abstract
A bstract For a single free scalar field in d ≥ 2 dimensions, almost all the unitary conformal defects must be ‘trivial’ in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in d ≥ 4 and co-dimension three defects in d ≥ 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
PhysicsFree fieldConformal mapScalar (mathematics)MonodromyScalar fieldConformal field theoryUnitary stateScalar field theoryLine (geometry)Field (mathematics)Quantum electrodynamicsQuantum mechanicsSurface (topology)Quantum field theoryTheoretical physicsMathematical physicsBoundary conformal field theorySpectrum (functional analysis)Massless particleTopological defectFree surfaceConformal symmetryOrbifoldCorrelation function (quantum field theory)Field theory (psychology)Real lineMinimal modelsQuantization (signal processing)Spectral line shapeBlack Holes and Theoretical PhysicsHomotopy and Cohomology in Algebraic TopologyGeometric Analysis and Curvature Flows