Trinion conformal blocks from topological strings
Abstract In this paper we investigate the relation between conformal blocks of Liouville CFT and the topological string partition functions of the rank one trinion theory T 2. The partition functions exhibit jumps when passing from one chamber in the parameter space to another. Such jumps can be att...
| 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)078 |
| _version_ | 1818339631494594560 |
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| author | Ioana Coman Elli Pomoni Joerg Teschner |
| author_facet | Ioana Coman Elli Pomoni Joerg Teschner |
| author_sort | Ioana Coman |
| collection | DOAJ |
| description | Abstract In this paper we investigate the relation between conformal blocks of Liouville CFT and the topological string partition functions of the rank one trinion theory T 2. The partition functions exhibit jumps when passing from one chamber in the parameter space to another. Such jumps can be attributed to a change of the integration contour in the free field representation of Liouville conformal blocks. We compare the partition functions of the T 2 theories representing trifundamental half hypermultiplets in N = 2, d = 4 field theories to the partition functions associated to bifundamental hypermultiplets. We find that both are related to the same Liouville conformal blocks up to inessential factors. In order to establish this picture we combine and compare results obtained using topological vertex techniques, matrix models and topological recursion. We furthermore check that the partition functions obtained by gluing two T 2 vertices can be represented in terms of a four point Liouville conformal block. Our results indicate that the T 2 vertex offers a useful starting point for developing an analog of the instanton calculus for SUSY gauge theories with trifundamental hypermultiplets. |
| first_indexed | 2024-12-13T15:30:05Z |
| format | Article |
| id | doaj.art-e661500d13a74795b41d2d83e8272b16 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T15:30:05Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e661500d13a74795b41d2d83e8272b162022-12-21T23:40:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020915910.1007/JHEP09(2020)078Trinion conformal blocks from topological stringsIoana Coman0Elli Pomoni1Joerg Teschner2DESY, Theory GroupDESY, Theory GroupDESY, Theory GroupAbstract In this paper we investigate the relation between conformal blocks of Liouville CFT and the topological string partition functions of the rank one trinion theory T 2. The partition functions exhibit jumps when passing from one chamber in the parameter space to another. Such jumps can be attributed to a change of the integration contour in the free field representation of Liouville conformal blocks. We compare the partition functions of the T 2 theories representing trifundamental half hypermultiplets in N = 2, d = 4 field theories to the partition functions associated to bifundamental hypermultiplets. We find that both are related to the same Liouville conformal blocks up to inessential factors. In order to establish this picture we combine and compare results obtained using topological vertex techniques, matrix models and topological recursion. We furthermore check that the partition functions obtained by gluing two T 2 vertices can be represented in terms of a four point Liouville conformal block. Our results indicate that the T 2 vertex offers a useful starting point for developing an analog of the instanton calculus for SUSY gauge theories with trifundamental hypermultiplets.http://link.springer.com/article/10.1007/JHEP09(2020)078Conformal and W SymmetryConformal Field TheorySupersymmetry and DualityTopological Strings |
| spellingShingle | Ioana Coman Elli Pomoni Joerg Teschner Trinion conformal blocks from topological strings Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Supersymmetry and Duality Topological Strings |
| title | Trinion conformal blocks from topological strings |
| title_full | Trinion conformal blocks from topological strings |
| title_fullStr | Trinion conformal blocks from topological strings |
| title_full_unstemmed | Trinion conformal blocks from topological strings |
| title_short | Trinion conformal blocks from topological strings |
| title_sort | trinion conformal blocks from topological strings |
| topic | Conformal and W Symmetry Conformal Field Theory Supersymmetry and Duality Topological Strings |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)078 |
| work_keys_str_mv | AT ioanacoman trinionconformalblocksfromtopologicalstrings AT ellipomoni trinionconformalblocksfromtopologicalstrings AT joergteschner trinionconformalblocksfromtopologicalstrings |