Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2014)084
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
Categories
Funding
- NSERC, Canada
- National Science Foundation [PHY-0969739]
- University Research Fellowship from the Royal Society
- German Research Foundation (DFG) [WR 166/1-1]
- STFC [ST/L000296/1, ST/J000353/1] Funding Source: UKRI
- Division Of Physics
- Direct For Mathematical & Physical Scien [1316617] Funding Source: National Science Foundation
- Science and Technology Facilities Council [ST/J000353/1, ST/L000296/1] Funding Source: researchfish
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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.
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