Abstract
We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a halfplane. 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 

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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Anatoly Konechny
 School of Mathematical & Computer Sciences  Associate Professor
 School of Mathematical & Computer Sciences, Mathematics  Associate Professor
Person: Academic (Research & Teaching)