Superconformal partition functions and non-perturbative topological strings
Abstract We propose a non-perturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S 5 and the superconformal index of a large number of 6 dimensional (2, 0) and (1, 0) theories, including that...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)051 |
| _version_ | 1818189529482264576 |
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| author | Guglielmo Lockhart Cumrun Vafa |
| author_facet | Guglielmo Lockhart Cumrun Vafa |
| author_sort | Guglielmo Lockhart |
| collection | DOAJ |
| description | Abstract We propose a non-perturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S 5 and the superconformal index of a large number of 6 dimensional (2, 0) and (1, 0) theories, including that of N coincident M5 branes. The result can be expressed as an integral over the product of three combinations of topological string amplitudes. SL(3, Z) modular transformations acting by inverting the coupling constants of the refined topological string play a key role. |
| first_indexed | 2024-12-11T23:44:16Z |
| format | Article |
| id | doaj.art-213f60a5d37a4205b4f9f17c1c6a042e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T23:44:16Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-213f60a5d37a4205b4f9f17c1c6a042e2022-12-22T00:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181014310.1007/JHEP10(2018)051Superconformal partition functions and non-perturbative topological stringsGuglielmo Lockhart0Cumrun Vafa1Department of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract We propose a non-perturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S 5 and the superconformal index of a large number of 6 dimensional (2, 0) and (1, 0) theories, including that of N coincident M5 branes. The result can be expressed as an integral over the product of three combinations of topological string amplitudes. SL(3, Z) modular transformations acting by inverting the coupling constants of the refined topological string play a key role.http://link.springer.com/article/10.1007/JHEP10(2018)051Field Theories in Higher DimensionsSupersymmetric Gauge TheoryTopological Strings |
| spellingShingle | Guglielmo Lockhart Cumrun Vafa Superconformal partition functions and non-perturbative topological strings Journal of High Energy Physics Field Theories in Higher Dimensions Supersymmetric Gauge Theory Topological Strings |
| title | Superconformal partition functions and non-perturbative topological strings |
| title_full | Superconformal partition functions and non-perturbative topological strings |
| title_fullStr | Superconformal partition functions and non-perturbative topological strings |
| title_full_unstemmed | Superconformal partition functions and non-perturbative topological strings |
| title_short | Superconformal partition functions and non-perturbative topological strings |
| title_sort | superconformal partition functions and non perturbative topological strings |
| topic | Field Theories in Higher Dimensions Supersymmetric Gauge Theory Topological Strings |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)051 |
| work_keys_str_mv | AT guglielmolockhart superconformalpartitionfunctionsandnonperturbativetopologicalstrings AT cumrunvafa superconformalpartitionfunctionsandnonperturbativetopologicalstrings |