Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold plus branes.
Line and surface defects for the free scalar field
9 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
For a single free scalar field in $d \geq 2$ dimensions, almost all the unitary conformal defects must be `trivial' in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in $d \geq 4$ and co-dimension three defects in $d \geq 5$. As an intermediate result we show that the $n$-point correlation functions of a conformal theory with a generalized free spectrum must be those of the generalized free theory.
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Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.
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.
Derives explicit OPE coefficients for contact and exchange Witten diagrams and closed-form defect-to-bulk crossing kernels for zero- and surface defects in specific dimensions.
Derives universal first-order ODEs governing the RG flow of boundary operator data (scaling dimensions, OPE and BOE coefficients) for 2D QFTs on hyperbolic space.
The paper introduces a formalism for constructing conformally invariant defects in Neural Network Field Theories, demonstrates it on two toy scalar models, and provides a neural-network reading of a defect OPE expansion in two-point functions.
Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Chern-Simons topological behavior.
One-loop bulk calculations in holographic BCFT with EOW brane yield scalar correlators whose analytic properties are incompatible with boundary conformal symmetry expectations.
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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Monodromy defects in Chern-Simons theory and Holography
Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold plus branes.
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A Twist on Scattering from Defect Anomalies
Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.
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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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Aspects of Witten Diagrams for Holographic Defects
Derives explicit OPE coefficients for contact and exchange Witten diagrams and closed-form defect-to-bulk crossing kernels for zero- and surface defects in specific dimensions.
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QFT as a set of ODEs
Derives universal first-order ODEs governing the RG flow of boundary operator data (scaling dimensions, OPE and BOE coefficients) for 2D QFTs on hyperbolic space.
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Conformal Defects in Neural Network Field Theories
The paper introduces a formalism for constructing conformally invariant defects in Neural Network Field Theories, demonstrates it on two toy scalar models, and provides a neural-network reading of a defect OPE expansion in two-point functions.
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Monodromy Defects for Electric-Magnetic Duality, Hyperbolic Space, and Lines
Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Chern-Simons topological behavior.
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Boundary conformal field theory, holography and bulk locality
One-loop bulk calculations in holographic BCFT with EOW brane yield scalar correlators whose analytic properties are incompatible with boundary conformal symmetry expectations.
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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.