On Holographic Defect Entropy
| Autor: | Estes, John, Jensen, Kristan, O'Bannon, Andy, Tsatis, Efstratios, Wrase, Timm |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | JHEP 1405:084,2014 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2014)084 |
| Popis: | 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. Comment: 40 pages, 1 appendix, 6 figures (7 pdf files) |
| Databáze: | arXiv |
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