On the canonical c-function in 4-d field theories possessing supergravity duals
We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergra...
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1797106401746616320 |
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| author | Porrati, M Starinets, A |
| author_facet | Porrati, M Starinets, A |
| author_sort | Porrati, M |
| collection | OXFORD |
| description | We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter. © 2001 Published by Elsevier Science B.V. |
| first_indexed | 2024-03-07T07:01:55Z |
| format | Journal article |
| id | oxford-uuid:ffc82302-ace4-448e-a4b9-62a4d60199bc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:01:55Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:ffc82302-ace4-448e-a4b9-62a4d60199bc2022-03-27T13:47:36ZOn the canonical c-function in 4-d field theories possessing supergravity dualsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ffc82302-ace4-448e-a4b9-62a4d60199bcEnglishSymplectic Elements at Oxford2001Porrati, MStarinets, AWe study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter. © 2001 Published by Elsevier Science B.V. |
| spellingShingle | Porrati, M Starinets, A On the canonical c-function in 4-d field theories possessing supergravity duals |
| title | On the canonical c-function in 4-d field theories possessing supergravity duals |
| title_full | On the canonical c-function in 4-d field theories possessing supergravity duals |
| title_fullStr | On the canonical c-function in 4-d field theories possessing supergravity duals |
| title_full_unstemmed | On the canonical c-function in 4-d field theories possessing supergravity duals |
| title_short | On the canonical c-function in 4-d field theories possessing supergravity duals |
| title_sort | on the canonical c function in 4 d field theories possessing supergravity duals |
| work_keys_str_mv | AT porratim onthecanonicalcfunctionin4dfieldtheoriespossessingsupergravityduals AT starinetsa onthecanonicalcfunctionin4dfieldtheoriespossessingsupergravityduals |