Abstract
We consider holographic duals of 2-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the SO(2, 2) conformal symmetry to SO(2, 1) and the dual geometry is realized as a warped product of the form \( Ad{S}_2\times \mathrm{\mathcal{M}} \), where \( \mathrm{\mathcal{M}} \) is not compact. In particular, it will contain points where the warp factor of the AdS2 space diverges, leading to asymptotically AdS3 regions. We show that the AdS2 space-time may always be replaced with an AdS2-“black-hole” space-time. We argue the resulting geometry describes the BCFT at finite temperature. To motivate this claim, we compute the entanglement entropy holographically for a segment centered around the defect or ending on the boundary and find agreement with a known universal formula.
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ArXiv ePrint: 1503.07375
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Estes, J. Finite temperature holographic duals of 2-dimensional BCFTs. J. High Energ. Phys. 2015, 20 (2015). https://doi.org/10.1007/JHEP07(2015)020
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DOI: https://doi.org/10.1007/JHEP07(2015)020