On holographic defect entropy

Estes, John (Blackett Laboratory, Imperial College, London, SW7 2AZ, United Kingdom) ; Jensen, Kristan (Department of Physics and Astronomy, University of Victoria, Victoria, BC, V8W 3P6, Canada) (C.N. Yang Institute for Theoretical Physics, SUNY Stony Brook, Stony Brook, NY, 11794-3840, United States) ; O’Bannon, Andy (Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom) ; Tsatis, Efstratios (8 Kotylaiou Street, Athens, 11364, Greece) ; Wrase, Timm (Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA, 94305, United States)

22 May 2014

Abstract: We study a number of (3 + 1)- and (2 + 1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3 + 1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g -theorem of (1 + 1)-dimensional field theories generalizes to higher dimensions.

Published in: JHEP 1405 (2014) 084
Published by: Springer/SISSA
DOI: 10.1007/JHEP05(2014)084
arXiv: 1403.6475
License: CC-BY-4.0

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