Bootstrapping ADE M-strings
Abstract We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which determines elliptic genera at low base degrees and help...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)057 |
| _version_ | 1818413258167549952 |
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| author | Zhihao Duan June Nahmgoong |
| author_facet | Zhihao Duan June Nahmgoong |
| author_sort | Zhihao Duan |
| collection | DOAJ |
| description | Abstract We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which determines elliptic genera at low base degrees and helps us to conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of related geometries. Using this, we can bootstrap the elliptic genera to arbitrary base degree, including D/E-type theories for which explicit formulas are only partially known. We utilize our results to obtain the 6d Cardy formulas and the superconformal indices for (2,0) theories. |
| first_indexed | 2024-12-14T11:00:20Z |
| format | Article |
| id | doaj.art-2bc7cf601fba43a59ee8a860d7b121d2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T11:00:20Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2bc7cf601fba43a59ee8a860d7b121d22022-12-21T23:04:45ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021214310.1007/JHEP02(2021)057Bootstrapping ADE M-stringsZhihao Duan0June Nahmgoong1School of Physics, Korea Institute for Advanced StudySchool of Physics, Korea Institute for Advanced StudyAbstract We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which determines elliptic genera at low base degrees and helps us to conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of related geometries. Using this, we can bootstrap the elliptic genera to arbitrary base degree, including D/E-type theories for which explicit formulas are only partially known. We utilize our results to obtain the 6d Cardy formulas and the superconformal indices for (2,0) theories.https://doi.org/10.1007/JHEP02(2021)057Conformal Field Models in String TheoryTopological StringsF-Theory |
| spellingShingle | Zhihao Duan June Nahmgoong Bootstrapping ADE M-strings Journal of High Energy Physics Conformal Field Models in String Theory Topological Strings F-Theory |
| title | Bootstrapping ADE M-strings |
| title_full | Bootstrapping ADE M-strings |
| title_fullStr | Bootstrapping ADE M-strings |
| title_full_unstemmed | Bootstrapping ADE M-strings |
| title_short | Bootstrapping ADE M-strings |
| title_sort | bootstrapping ade m strings |
| topic | Conformal Field Models in String Theory Topological Strings F-Theory |
| url | https://doi.org/10.1007/JHEP02(2021)057 |
| work_keys_str_mv | AT zhihaoduan bootstrappingademstrings AT junenahmgoong bootstrappingademstrings |