Work

Defect Conformal Manifolds from Phantom Noninvertible Symmetries

Year: 2025
Type: article
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.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,750
OpenAlex ID: W4414746107
FWCI: 3.314
Cites: 57
Cited by: 7
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