Journal
NUCLEAR PHYSICS B
Volume 798, Issue 3, Pages 491-504Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2008.01.010
Keywords
boundary conformal field theory; boundary entropy; RG flow
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The boundary entropy log(g) of a critical one-dimensional quantum system (or two-dimensional conformal field theory) is known to decrease under renormalization group (RG) flow of the boundary theory. We study instead the behavior of the boundary entropy as the bulk theory flows between two nearby critical points. We use conformal perturbation theory to calculate the change in g due to a slightly relevant bulk perturbation and find that it has no preferred sign. The boundary entropy log(g) can therefore increase during appropriate bulk flows. This is demonstrated explicitly in flows between minimal models. We discuss the applications of this result to D-branes in string theory and to impurity problems in condensed matter. (c) 2008 Elsevier B.V. All rights reserved.
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