2018年10月16日
Towards a $C$-theorem in defect CFT
JOURNAL OF HIGH ENERGY PHYSICS
- ,
- ,
- ,
- 巻
- 号
- 1
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1007/JHEP01(2019)039
- 出版者・発行元
- SPRINGER
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.
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.
- リンク情報
-
- DOI
- https://doi.org/10.1007/JHEP01(2019)039
- arXiv
- http://arxiv.org/abs/arXiv:1810.06995
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000455158700003&DestApp=WOS_CPL
- URL
- http://arxiv.org/abs/1810.06995v2
- URL
- http://arxiv.org/pdf/1810.06995v2 本文へのリンクあり
- ID情報
-
- DOI : 10.1007/JHEP01(2019)039
- ISSN : 1029-8479
- arXiv ID : arXiv:1810.06995
- Web of Science ID : WOS:000455158700003