The holographic landscape of symmetric product orbifolds
Abstract We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)111 |
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| author | Alexandre Belin Alejandra Castro Christoph A. Keller Beatrix Mühlmann |
| author_facet | Alexandre Belin Alejandra Castro Christoph A. Keller Beatrix Mühlmann |
| author_sort | Alexandre Belin |
| collection | DOAJ |
| description | Abstract We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the growth is much slower, and compatible with the spectrum of a supergravity theory on AdS3. We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS3/CFT2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description. |
| format | Article |
| id | doaj-art-a781daec2ceb441593acc275fafa002c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a781daec2ceb441593acc275fafa002c2025-01-26T12:11:40ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112810.1007/JHEP01(2020)111The holographic landscape of symmetric product orbifoldsAlexandre Belin0Alejandra Castro1Christoph A. Keller2Beatrix Mühlmann3CERN, Theory DivisionInstitute for Theoretical Physics, University of AmsterdamDepartment of Mathematics, University of ArizonaInstitute for Theoretical Physics, University of AmsterdamAbstract We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the growth is much slower, and compatible with the spectrum of a supergravity theory on AdS3. We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS3/CFT2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description.https://doi.org/10.1007/JHEP01(2020)111AdS-CFT CorrespondenceBlack Holes in String Theory |
| spellingShingle | Alexandre Belin Alejandra Castro Christoph A. Keller Beatrix Mühlmann The holographic landscape of symmetric product orbifolds Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory |
| title | The holographic landscape of symmetric product orbifolds |
| title_full | The holographic landscape of symmetric product orbifolds |
| title_fullStr | The holographic landscape of symmetric product orbifolds |
| title_full_unstemmed | The holographic landscape of symmetric product orbifolds |
| title_short | The holographic landscape of symmetric product orbifolds |
| title_sort | holographic landscape of symmetric product orbifolds |
| topic | AdS-CFT Correspondence Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP01(2020)111 |
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