On the intermediate Jacobian of M5-branes
We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devis...
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2024
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| Online Access: | https://hdl.handle.net/1721.1/155006 |
| _version_ | 1824458019588538368 |
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| author | Jefferson, Patrick Kim, Manki |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Jefferson, Patrick Kim, Manki |
| author_sort | Jefferson, Patrick |
| collection | MIT |
| description | We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devise a method to analyze the Hodge structure (and hence the dimension of the intermediate Jacobian) of vertical divisors in these fourfolds, using only the data available from a type IIB compactification on the O3/O7 Calabi-Yau orientifold. Our method utilizes simple combinatorial formulae (that we prove) for the equivariant Hodge numbers of the Calabi-Yau orientifolds and their prime toric divisors, along with a formula for the Euler characteristic of vertical divisors in the corresponding elliptic Calabi-Yau fourfold. Our formula for the Euler characteristic includes a conjectured correction term that accounts for the contributions of pointlike terminal ℤ2 singularities corresponding to perturbative O3-planes. We check our conjecture in a number of explicit examples and find perfect agreement with the results of direct computations. |
| first_indexed | 2024-09-23T10:41:12Z |
| format | Article |
| id | mit-1721.1/155006 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:19:14Z |
| publishDate | 2024 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1550062025-02-05T21:35:25Z On the intermediate Jacobian of M5-branes Jefferson, Patrick Kim, Manki Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devise a method to analyze the Hodge structure (and hence the dimension of the intermediate Jacobian) of vertical divisors in these fourfolds, using only the data available from a type IIB compactification on the O3/O7 Calabi-Yau orientifold. Our method utilizes simple combinatorial formulae (that we prove) for the equivariant Hodge numbers of the Calabi-Yau orientifolds and their prime toric divisors, along with a formula for the Euler characteristic of vertical divisors in the corresponding elliptic Calabi-Yau fourfold. Our formula for the Euler characteristic includes a conjectured correction term that accounts for the contributions of pointlike terminal ℤ2 singularities corresponding to perturbative O3-planes. We check our conjecture in a number of explicit examples and find perfect agreement with the results of direct computations. 2024-05-20T18:40:24Z 2024-05-20T18:40:24Z 2024-05-15 2024-05-19T03:13:25Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/155006 Jefferson, P., Kim, M. On the intermediate Jacobian of M5-branes. J. High Energ. Phys. 2024, 180 (2024). PUBLISHER_CC en 10.1007/jhep05(2024)180 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Science and Business Media LLC Springer Berlin Heidelberg |
| spellingShingle | Jefferson, Patrick Kim, Manki On the intermediate Jacobian of M5-branes |
| title | On the intermediate Jacobian of M5-branes |
| title_full | On the intermediate Jacobian of M5-branes |
| title_fullStr | On the intermediate Jacobian of M5-branes |
| title_full_unstemmed | On the intermediate Jacobian of M5-branes |
| title_short | On the intermediate Jacobian of M5-branes |
| title_sort | on the intermediate jacobian of m5 branes |
| url | https://hdl.handle.net/1721.1/155006 |
| work_keys_str_mv | AT jeffersonpatrick ontheintermediatejacobianofm5branes AT kimmanki ontheintermediatejacobianofm5branes |