Abstract
A conformal field theory (CFT) in dimension coupled to a planar, two-dimensional, conformal defect is characterized in part by a “central charge” 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 must decrease or remain constant from the ultraviolet to the infrared. Our result applies also to a CFT in flat space with a planar boundary.
- Received 23 October 2015
DOI:https://doi.org/10.1103/PhysRevLett.116.091601
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Particles & Fields