A Constraint on Defect and Boundary Renormalization Group Flows
read the original abstract
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.
This paper has not been read by Pith yet.
Forward citations
Cited by 7 Pith papers
-
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.
-
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...
-
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.
-
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.
-
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...
-
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.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.