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A Constraint on Defect and Boundary Renormalization Group Flows
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A conformal field theory (CFT) in dimension $d\geq 3$ coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" $b$ that multiplies the Euler density in the defect's Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that $b$ must decrease or remain constant from ultraviolet to infrared. Our result applies also to a CFT in $d=3$ flat space with a planar boundary.
Forward citations
Cited by 13 Pith papers
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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 f...
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Protected operators in non-local defect CFTs from AdS
Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.
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Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for defect renormalization group flows in the 3D Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent topological and geometric structures in defect coup...
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Boundary criticality in the Gross-Neveu-Yukawa model at higher orders
Higher-order large-N and epsilon-expansion calculations of boundary free energies, fermion dimensions, and central charge in the Gross-Neveu-Yukawa universality class, with consistency checks between methods.
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Matching $A$ with $F$ in long-range QFTs
In long-range non-unitary φ^4 models the RG flow obeys a gradient structure up to three loops, with A matching the sphere free energy F̃ at leading order.
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Matching $A$ with $F$ in long-range QFTs
RG flow in long-range φ⁴ theories obeys gradient structure ∂_I A = G_IJ β^J up to three loops, with A matching F-tilde and G matching C_IJ at leading nontrivial order.
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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 degr...
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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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Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes
Derives holographic one-point functions, stress tensor and Ward identities for defects in AdS5 and AdS6 from AdS2×S2, AdS2×S3 and AdS3×S2 backgrounds in Romans supergravity.
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Matching $A$ with $F$ in long-range QFTs
Long-range φ⁴ theories have RG beta functions that satisfy a gradient flow with A matching the sphere free energy F̃ at leading nontrivial order.
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When Symmetries Twist: Anomaly Inflow on Monodromy Defects
Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, ver...
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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.
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Some universalities in the partition functions of low-dimensional gravity models
Conjectures universalities in partition functions across low-dimensional gravity models by examining similarities under parameter changes, wavefunction behaviors, entanglement, and wormhole connections.
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