Entropy variations and light ray operators from replica defects
Abstract We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d − 2. For interacting theories and...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)217 |
| _version_ | 1811236328761720832 |
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| author | Srivatsan Balakrishnan Venkatesa Chandrasekaran Thomas Faulkner Adam Levine Arvin Shahbazi-Moghaddam |
| author_facet | Srivatsan Balakrishnan Venkatesa Chandrasekaran Thomas Faulkner Adam Levine Arvin Shahbazi-Moghaddam |
| author_sort | Srivatsan Balakrishnan |
| collection | DOAJ |
| description | Abstract We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d − 2. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the n → 1 limit. This implies that the quantum null energy condition (QNEC) is always saturated for CFTs with a twist gap. As a check, we show independently that in a large class of near vacuum states, the second variation of the entanglement entropy is given by a simple correlation function of averaged null energy operators as studied by Hofman and Maldacena. This suggests that sub-leading terms in the defect OPE are controlled by a defect version of the spin-3 non-local light ray operator and we speculate about the possible origin of such a defect operator. For free theories this contribution condenses to a contact term that leads to violations of QNEC saturation. |
| first_indexed | 2024-04-12T12:06:57Z |
| format | Article |
| id | doaj.art-b1ae57bbb67c4366b9df09c91bb71292 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T12:06:57Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b1ae57bbb67c4366b9df09c91bb712922022-12-22T03:33:40ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022914210.1007/JHEP09(2022)217Entropy variations and light ray operators from replica defectsSrivatsan Balakrishnan0Venkatesa Chandrasekaran1Thomas Faulkner2Adam Levine3Arvin Shahbazi-Moghaddam4Department of Physics, University of IllinoisCenter for Theoretical Physics and Department of Physics, University of CaliforniaDepartment of Physics, University of IllinoisCenter for Theoretical Physics and Department of Physics, University of CaliforniaCenter for Theoretical Physics and Department of Physics, University of CaliforniaAbstract We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d − 2. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the n → 1 limit. This implies that the quantum null energy condition (QNEC) is always saturated for CFTs with a twist gap. As a check, we show independently that in a large class of near vacuum states, the second variation of the entanglement entropy is given by a simple correlation function of averaged null energy operators as studied by Hofman and Maldacena. This suggests that sub-leading terms in the defect OPE are controlled by a defect version of the spin-3 non-local light ray operator and we speculate about the possible origin of such a defect operator. For free theories this contribution condenses to a contact term that leads to violations of QNEC saturation.https://doi.org/10.1007/JHEP09(2022)217Boundary Quantum Field TheoryConformal Field TheoryField Theories in Higher Dimensions |
| spellingShingle | Srivatsan Balakrishnan Venkatesa Chandrasekaran Thomas Faulkner Adam Levine Arvin Shahbazi-Moghaddam Entropy variations and light ray operators from replica defects Journal of High Energy Physics Boundary Quantum Field Theory Conformal Field Theory Field Theories in Higher Dimensions |
| title | Entropy variations and light ray operators from replica defects |
| title_full | Entropy variations and light ray operators from replica defects |
| title_fullStr | Entropy variations and light ray operators from replica defects |
| title_full_unstemmed | Entropy variations and light ray operators from replica defects |
| title_short | Entropy variations and light ray operators from replica defects |
| title_sort | entropy variations and light ray operators from replica defects |
| topic | Boundary Quantum Field Theory Conformal Field Theory Field Theories in Higher Dimensions |
| url | https://doi.org/10.1007/JHEP09(2022)217 |
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