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.
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Estes, J., Jensen, K., O’Bannon, A. et al. On holographic defect entropy. J. High Energ. Phys. 2014, 84 (2014). https://doi.org/10.1007/JHEP05(2014)084
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DOI: https://doi.org/10.1007/JHEP05(2014)084