RG flows on two-dimensional spherical defects
arXiv:2212.08081 · doi:10.21468/SciPostPhys.15.6.240
Abstract
We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow, the entropy function equals the anomaly coefficient which multiplies the Euler density in the defect's Weyl anomaly. Our construction demonstrates an alternative derivation of the irreversibility of RG flows on two-dimensional defects. Moreover in the case of perturbative RG flows, the entropy function decreases monotonically and plays the role of a C-function. We provide a simple example to explicitly work out the RG flow details in the proposed construction.
23 pages
References in corpus (11)
- Holographic c-theorems in arbitrary dimensions
- Entanglement entropy, conformal invariance and extrinsic geometry
- Entanglement Entropy, Trace Anomalies and Holography
- The g-theorem and quantum information theory
- Irreversibility in quantum field theories with boundaries
- The entropic -theorem in general spacetime dimension
- A plane defect in the 3d O model
- Defects in scalar field theories, RG flows and Dimensional Disentangling
- Interpolating Wilson loops and enriched RG flows
- Defect Localized Entropy: Renormalization Group and Holography
- Boundary Conformal Field Theory at Large Charge