Conformal perturbation theory is applied to surface defects in O(N) models in 4-ε dimensions to reproduce known flows and construct new ones, with controlled changes in displacement and tilt normalizations and novel features like vortices on non-simply-connected manifolds.
Phases of surface defects in S calar Field Theories
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Replica one-loop RG of Wilson-Fisher theory with surface random field yields a mixed-stable dirty defect fixed point and logarithmic multiplets in the N o0 limit.
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.
Defect charges under generalized symmetries correspond one-to-one with gapped boundary conditions of the Symmetry TFT Z(C) on Y = Σ_{d-p+1} × S^{p-1} via dimensional reduction.
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
citing papers explorer
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Flowing with Displacements and Tilts: Surface Operators in $O(N)$ Models
Conformal perturbation theory is applied to surface defects in O(N) models in 4-ε dimensions to reproduce known flows and construct new ones, with controlled changes in displacement and tilt normalizations and novel features like vortices on non-simply-connected manifolds.
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Ising surface defects can get dirty
Replica one-loop RG of Wilson-Fisher theory with surface random field yields a mixed-stable dirty defect fixed point and logarithmic multiplets in the N o0 limit.
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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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Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT
Defect charges under generalized symmetries correspond one-to-one with gapped boundary conditions of the Symmetry TFT Z(C) on Y = Σ_{d-p+1} × S^{p-1} via dimensional reduction.
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Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
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Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.