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Defect Conformal Manifolds from Phantom Noninvertible Symmetries

Andrea Antinucci1, Christian Copetti1, Giovanni Galati2, and Giovanni Rizi3

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Yoshiki Fukusumi and Shinichiro Yahagi

SciPost Phys. 20 136 (2026)

Continuous Family of Conformal Field Theories and Exactly Marginal Operators

Shota Komatsu, Yuya Kusuki, Marco Meineri, and Hirosi Ooguri

Phys. Rev. Lett. 136 241603 (2026)

Transmission coefficients from phantom currents

Yuma Furuta, Yuya Kusuki, and Toshiki Onagi

Phys. Rev. D 113 045008 (2026)

Higher structures on boundary conformal manifolds: Higher Berry phase and boundary conformal field theory

Yichul Choi, Hyunsoo Ha, Dongyeob Kim, Yuya Kusuki, Shuhei Ohyama, and Shinsei Ryu

Phys. Rev. D 113 106005 (2026)

Classifying fusion rules of anyons or symmetry topological field theories: General algebraic formula for domain wall problems and quantum phase transitions

Yoshiki Fukusumi

Phys. Rev. B 114 065132 (2026)

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Yoshiki Fukusumi and Yuma Furuta

Phys. Rev. B 113 155103 (2026)

4d Maxwell on the edge: global aspects of boundary conditions and duality

Adrien Arbalestrier, Riccardo Argurio, Giovanni Galati, and Elise Paznokas

J. High Energ. Phys. 2026 10 (2026)

Defect conformal manifolds along RG domain walls between ℤN-parafermions and minimal models

Jin-Rui Zhang, Jing-Hao Jin, Ting-Kai Chen, and Jin Chen

J. High Energ. Phys. 2026 123 (2026)

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