Geodesic gradient flows in moduli space
Abstract Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane’s scalar charge-to-tension ratio vector −∇...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)035 |
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| _version_ | 1849726177343700992 |
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| author | Muldrow Etheredge Ben Heidenreich |
| author_facet | Muldrow Etheredge Ben Heidenreich |
| author_sort | Muldrow Etheredge |
| collection | DOAJ |
| description | Abstract Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane’s scalar charge-to-tension ratio vector −∇ log T has a fixed length, then the gradient flow induced by the logarithm of the brane’s tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape. |
| format | Article |
| id | doaj-art-88338fc0620f40739f554250dca77cd5 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-88338fc0620f40739f554250dca77cd52025-08-20T03:10:17ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025311310.1007/JHEP03(2025)035Geodesic gradient flows in moduli spaceMuldrow Etheredge0Ben Heidenreich1Department of Physics, University of MassachusettsDepartment of Physics, University of MassachusettsAbstract Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane’s scalar charge-to-tension ratio vector −∇ log T has a fixed length, then the gradient flow induced by the logarithm of the brane’s tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.https://doi.org/10.1007/JHEP03(2025)035String and Brane PhenomenologySuperstring VacuaM-TheoryString Duality |
| spellingShingle | Muldrow Etheredge Ben Heidenreich Geodesic gradient flows in moduli space Journal of High Energy Physics String and Brane Phenomenology Superstring Vacua M-Theory String Duality |
| title | Geodesic gradient flows in moduli space |
| title_full | Geodesic gradient flows in moduli space |
| title_fullStr | Geodesic gradient flows in moduli space |
| title_full_unstemmed | Geodesic gradient flows in moduli space |
| title_short | Geodesic gradient flows in moduli space |
| title_sort | geodesic gradient flows in moduli space |
| topic | String and Brane Phenomenology Superstring Vacua M-Theory String Duality |
| url | https://doi.org/10.1007/JHEP03(2025)035 |
| work_keys_str_mv | AT muldrowetheredge geodesicgradientflowsinmodulispace AT benheidenreich geodesicgradientflowsinmodulispace |