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Conformal surface defects in Maxwell theory are trivial

Christopher P. Herzog, Abhay Shrestha

2022Journal of High Energy Physics30 citationsDOIOpen Access PDF

Abstract

A bstract We consider a free Maxwell field in four dimensions in the presence of a codimension two defect. Reflection positive, codimension two defects which preserve conformal symmetry in this context are very limited. We show only generalized free fields can appear in the defect operator product expansion of the bulk Maxwell field; in particular correlation functions of these defect operators can be evaluated via Wick’s Theorem.

Topics & Concepts

CodimensionConformal mapContext (archaeology)Mathematical physicsReflection (computer programming)Maxwell's equationsOperator (biology)Reflection symmetryProduct (mathematics)MathematicsField (mathematics)Surface (topology)Electromagnetic fieldSymmetry (geometry)Conformal field theoryOperator product expansionPhysicsTheoretical physicsPure mathematicsMathematical analysisQuantum mechanicsGeometryComputer scienceGeneBiologyTranscription factorProgramming languageRepressorChemistryBiochemistryPaleontologyBlack Holes and Theoretical PhysicsGeometric Analysis and Curvature FlowsTheoretical and Computational Physics
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