Defect Conformal Manifolds from Phantom Noninvertible Symmetries
Andrea Antinucci, Christian Copetti, Giovanni Galati, Giovanni Rizi
Abstract
We explore a general mechanism that allows (1+1)d CFTs to have interesting interface conformal manifolds even in the absence of any continuous internal symmetry or supersymmetry. This is made possible by the breaking of an enhanced continuous symmetry-which is generically noninvertible-arising in the folded theory. We provide several examples and showcase the power of the symmetry-based approach by computing the evolution of the reflection coefficient along the defect conformal manifold. We also discuss higher-dimensional generalizations and we comment on no-go theorems.
Topics & Concepts
Conformal mapHomogeneous spacePhysicsReflection (computer programming)Symmetry (geometry)Conformal symmetryTheoretical physicsReflection symmetrySymmetry breakingMechanism (biology)Symmetry groupManifold (fluid mechanics)Mathematical physicsSpontaneous symmetry breakingCritical phenomenaPower (physics)Conformal field theoryPure mathematicsInterface (matter)Standard Model (mathematical formulation)Conformal anomalyClassical mechanicsAstro and Planetary SciencePlanetary Science and ExplorationStellar, planetary, and galactic studies