Entanglement entropy of singular surfaces under relevant deformations in holography
Abstract In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional CFT for singular entangling surface. We observe that...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)009 |
| _version_ | 1811304601444417536 |
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| author | Mostafa Ghasemi Shahrokh Parvizi |
| author_facet | Mostafa Ghasemi Shahrokh Parvizi |
| author_sort | Mostafa Ghasemi |
| collection | DOAJ |
| description | Abstract In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional CFT for singular entangling surface. We observe that in addition to the universal term due to the entangling surface, there is a new logarithmic term which corresponds to a relevant perturbation of the conformal field theory with a coefficient depending on the scaling dimension of the relevant operator. We also find a new power law divergence in the holographic entanglement entropy. In addition, we study the effect of a relevant perturbation in the Gauss-Bonnet gravity for a singular entangling surface. Again a logarithmic term shows up. This new term is proportional to both the dimension of the relevant operator and the Gauss-Bonnet coupling. We also introduce the renormalized entanglement entropy for a kink region which in the UV limit reduces to a universal positive finite term. |
| first_indexed | 2024-04-13T08:10:20Z |
| format | Article |
| id | doaj.art-69e1001707c8466b99f2ac3c0e6635be |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T08:10:20Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-69e1001707c8466b99f2ac3c0e6635be2022-12-22T02:55:00ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018213010.1007/JHEP02(2018)009Entanglement entropy of singular surfaces under relevant deformations in holographyMostafa Ghasemi0Shahrokh Parvizi1Department of Physics, School of Sciences, Tarbiat Modares UniversityDepartment of Physics, School of Sciences, Tarbiat Modares UniversityAbstract In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional CFT for singular entangling surface. We observe that in addition to the universal term due to the entangling surface, there is a new logarithmic term which corresponds to a relevant perturbation of the conformal field theory with a coefficient depending on the scaling dimension of the relevant operator. We also find a new power law divergence in the holographic entanglement entropy. In addition, we study the effect of a relevant perturbation in the Gauss-Bonnet gravity for a singular entangling surface. Again a logarithmic term shows up. This new term is proportional to both the dimension of the relevant operator and the Gauss-Bonnet coupling. We also introduce the renormalized entanglement entropy for a kink region which in the UV limit reduces to a universal positive finite term.http://link.springer.com/article/10.1007/JHEP02(2018)009AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Mostafa Ghasemi Shahrokh Parvizi Entanglement entropy of singular surfaces under relevant deformations in holography Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | Entanglement entropy of singular surfaces under relevant deformations in holography |
| title_full | Entanglement entropy of singular surfaces under relevant deformations in holography |
| title_fullStr | Entanglement entropy of singular surfaces under relevant deformations in holography |
| title_full_unstemmed | Entanglement entropy of singular surfaces under relevant deformations in holography |
| title_short | Entanglement entropy of singular surfaces under relevant deformations in holography |
| title_sort | entanglement entropy of singular surfaces under relevant deformations in holography |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP02(2018)009 |
| work_keys_str_mv | AT mostafaghasemi entanglemententropyofsingularsurfacesunderrelevantdeformationsinholography AT shahrokhparvizi entanglemententropyofsingularsurfacesunderrelevantdeformationsinholography |