Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries

Fuente: arXiv
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Hauptverfasser: Antinucci, Andrea, Copetti, Christian, Galati, Giovanni, Rizi, Giovanni
Format: Preprint
Veröffentlicht: 2025
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author Antinucci, Andrea
Copetti, Christian
Galati, Giovanni
Rizi, Giovanni
author_facet Antinucci, Andrea
Copetti, Christian
Galati, Giovanni
Rizi, Giovanni
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09668
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries
Antinucci, Andrea
Copetti, Christian
Galati, Giovanni
Rizi, Giovanni
High Energy Physics - Theory
Statistical Mechanics
Strongly Correlated Electrons
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.
title Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries
topic High Energy Physics - Theory
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2505.09668