Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity
Abstract We study one-loop covariant effective action of “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)090 |
| _version_ | 1818942279583268864 |
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| author | Gourav Banerjee Sudip Karan Binata Panda |
| author_facet | Gourav Banerjee Sudip Karan Binata Panda |
| author_sort | Gourav Banerjee |
| collection | DOAJ |
| description | Abstract We study one-loop covariant effective action of “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory. |
| first_indexed | 2024-12-20T07:08:55Z |
| format | Article |
| id | doaj.art-654dfdf55f7941daa5233b3b49caf799 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T07:08:55Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-654dfdf55f7941daa5233b3b49caf7992022-12-21T19:48:57ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021112410.1007/JHEP01(2021)090Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravityGourav Banerjee0Sudip Karan1Binata Panda2Department of Physics, Indian Institute of Technology (Indian School of Mines)Department of Physics, Indian Institute of Technology (Indian School of Mines)Department of Physics, Indian Institute of Technology (Indian School of Mines)Abstract We study one-loop covariant effective action of “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory.https://doi.org/10.1007/JHEP01(2021)090Black HolesBlack Holes in String TheoryExtended SupersymmetryAdS-CFT Correspondence |
| spellingShingle | Gourav Banerjee Sudip Karan Binata Panda Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity Journal of High Energy Physics Black Holes Black Holes in String Theory Extended Supersymmetry AdS-CFT Correspondence |
| title | Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity |
| title_full | Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity |
| title_fullStr | Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity |
| title_full_unstemmed | Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity |
| title_short | Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity |
| title_sort | logarithmic correction to the entropy of extremal black holes in n mathcal n 1 einstein maxwell supergravity |
| topic | Black Holes Black Holes in String Theory Extended Supersymmetry AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2021)090 |
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