### Abstract

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 M_{m} 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 language | English |
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Article number | 485401 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 47 |

Issue number | 48 |

DOIs | |

Publication status | Published - 5 Dec 2014 |

### Keywords

- Conformal field theory
- Defects
- Entropy

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## Profiles

## Anatoly Konechny

- School of Mathematical & Computer Sciences - Associate Professor
- School of Mathematical & Computer Sciences, Mathematics - Associate Professor

Person: Academic (Research & Teaching)

## Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*47*(48), [485401]. https://doi.org/10.1088/1751-8113/47/48/485401