Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
The ϵ-expansion of the codimension two twist defect from conformal field theory
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abstract
We apply the framework of Rychkov-Tan arXiv:1505.00963 to the codimension two twist defect at the Wilson-Fisher fixed point in $4-\epsilon$ dimensions. We obtain the scaling dimensions of the operators on the defect up to the lowest nontrivial order in the $\epsilon$-expansion without using Feynman diagram computation. Our results agree with the known results.
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Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for generic p.
Monodromy defects for anomalous symmetries are defined as domain walls between symmetry generators and anomaly-induced topological orders, resulting in protected chiral edge modes and adiabatic pumping of gapless degrees of freedom.
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Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations
Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
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Crosscap Defects
Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for generic p.
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When Symmetries Twist: Anomaly Inflow on Monodromy Defects
Monodromy defects for anomalous symmetries are defined as domain walls between symmetry generators and anomaly-induced topological orders, resulting in protected chiral edge modes and adiabatic pumping of gapless degrees of freedom.