Defect Conformal Manifolds from Phantom Noninvertible Symmetries

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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.
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Funding Information
  • UK Research and Innovation
  • European Research Council
  • Science and Technology Facilities Council (ST/X000761/1)
  • Australian Research Council
  • National Science Foundation (PHY-2309135)
  • Huawei Technologies
  • Institut des Hautes Études Scientifiques, Université Paris-Saclay
  • Institut Interuniversitaire Des Sciences Nucléaires

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