Remarks on compatibility between conformal symmetry and continuous higher-form symmetries
Yasunori Lee, Yunqin Zheng
Abstract
We study the compatibility between conformal symmetry, together with unitarity, and continuous higher-form symmetries. We show that the $d$-dimensional, unitary, conformal field theories are not consistent with continuous $p$-form symmetries for certain $(d,p)$, assuming that the corresponding conserved current is a conformal primary operator. We further discuss several dynamical applications of this constraint.
Topics & Concepts
Homogeneous spaceUnitarityConformal symmetryUnitary stateConformal mapConformal field theoryMathematical physicsCompatibility (geochemistry)PhysicsPrimary fieldTheoretical physicsMathematicsQuantum mechanicsMathematical analysisGeometryPolitical scienceGeologyGeochemistryLawBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Chromodynamics and Particle Interactions