Entropy of conformal perturbation defects

Anatoly Konechny*, Cornelius Schmidt-Colinet

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a half-plane. If the perturbed bulk theory flows to an infrared fixed point described by another CFT, the defect flows to a conformal defect between the ultraviolet and infrared fixed point CFTs. For short bulk renormalization group flows connecting two fixed points which are close in theory space we find a universal perturbative formula for the boundary entropy of the corresponding conformal perturbation defect. We compare the value of the boundary entropy that our formula gives for the flows between nearby Virasoro minimal models Mm with the boundary entropy of the defect constructed by Gaiotto (2012 J. High Energy Phys. JHEP12(2012) 103) and find a match at the first two orders in the 1 m expansion.

Original languageEnglish
Article number485401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number48
Publication statusPublished - 5 Dec 2014


  • Conformal field theory
  • Defects
  • Entropy


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