Towards a \(C\)-theorem in defect CFT
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Publication:667083
DOI10.1007/JHEP01(2019)039zbMATH Open1409.81124arXiv1810.06995OpenAlexW2896623265WikidataQ128622866 ScholiaQ128622866MaRDI QIDQ667083
Author name not available (Why is that?)
Publication date: 12 March 2019
Published in: (Search for Journal in Brave)
Abstract: We explore a -theorem in defect conformal field theories (DCFTs) that unify all the known conjectures and theorems until now. We examine as a candidate -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 -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.
Full work available at URL: https://arxiv.org/abs/1810.06995
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