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• W2896623265 abstract "A bstract We explore a C -theorem in defect conformal field theories (DCFTs) that unify all the known conjectures and theorems until now. We examine as a candidate C -function the additional contributions from conformal defects to the sphere free energy and the entanglement entropy across a sphere in a number of examples including holographic models. We find the two quantities are equivalent, when suitably regularized, for codimension-one defects (or boundaries), but differ by a universal constant term otherwise. Moreover, we find in a few field theoretic examples that the sphere free energy decreases but the entanglement entropy increases along a certain renormalization group (RG) flow triggered by a defect localized perturbation which is assumed to have a trivial IR fixed point without defects. We hence propose a C -theorem in DCFTs stating that the increment of the regularized sphere free energy due to the defect does not increase under any defect RG flow. We also provide a proof of our proposal in several holographic models of defect RG flows." @default.
• W2896623265 created "2018-10-26" @default.
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• W2896623265 date "2019-01-01" @default.
• W2896623265 modified "2023-10-01" @default.
• W2896623265 title "Towards a C-theorem in defect CFT" @default.
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• W2896623265 doi "https://doi.org/10.1007/jhep01(2019)039" @default.
• W2896623265 hasPublicationYear "2019" @default.
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