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Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries
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Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries
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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 non-invertible, 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.
Forward citations
Cited by 9 Pith papers
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Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
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Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras
Framework for hypergroup symmetries in relative QFTs establishes one-to-one correspondence between finite symmetries and finite-index conformal embeddings in rational chiral algebras, with implications for gluing left...
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A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms
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