The 5d superconformal index at large N and black holes
Abstract We study the large N limit of the superconformal index of a large class of 5d N $$ \mathcal{N} $$ = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2020)124 |
| _version_ | 1818514910368235520 |
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| author | P. Marcos Crichigno Dharmesh Jain |
| author_facet | P. Marcos Crichigno Dharmesh Jain |
| author_sort | P. Marcos Crichigno |
| collection | DOAJ |
| description | Abstract We study the large N limit of the superconformal index of a large class of 5d N $$ \mathcal{N} $$ = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an “extended” regime in which fugacities are finite and N is large. For theories with weakly coupled gravity duals we conjecture this large N Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS6. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large N properties of the S b 3 × Σ g $$ {S}_b^3\times {\Sigma}_{\mathfrak{g}} $$ partition function, extending previous results to theories with type IIB duals. |
| first_indexed | 2024-12-11T00:22:08Z |
| format | Article |
| id | doaj.art-0eda35a1340b4e07ba9f4657862d19c5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T00:22:08Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0eda35a1340b4e07ba9f4657862d19c52022-12-22T01:27:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020912810.1007/JHEP09(2020)124The 5d superconformal index at large N and black holesP. Marcos Crichigno0Dharmesh Jain1Institute for Theoretical Physics, University of AmsterdamDepartment of Theoretical Sciences, S.N. Bose National Centre for Basic SciencesAbstract We study the large N limit of the superconformal index of a large class of 5d N $$ \mathcal{N} $$ = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an “extended” regime in which fugacities are finite and N is large. For theories with weakly coupled gravity duals we conjecture this large N Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS6. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large N properties of the S b 3 × Σ g $$ {S}_b^3\times {\Sigma}_{\mathfrak{g}} $$ partition function, extending previous results to theories with type IIB duals.http://link.springer.com/article/10.1007/JHEP09(2020)124AdS-CFT CorrespondenceBlack Holes in String TheoryConformal Field Models in String TheoryD-branes |
| spellingShingle | P. Marcos Crichigno Dharmesh Jain The 5d superconformal index at large N and black holes Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Conformal Field Models in String Theory D-branes |
| title | The 5d superconformal index at large N and black holes |
| title_full | The 5d superconformal index at large N and black holes |
| title_fullStr | The 5d superconformal index at large N and black holes |
| title_full_unstemmed | The 5d superconformal index at large N and black holes |
| title_short | The 5d superconformal index at large N and black holes |
| title_sort | 5d superconformal index at large n and black holes |
| topic | AdS-CFT Correspondence Black Holes in String Theory Conformal Field Models in String Theory D-branes |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)124 |
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