On TCS G 2 manifolds and 4D emergent strings
Abstract In this note, we study the Swampland Distance Conjecture in TCS G 2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fun...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)045 |
| _version_ | 1818269437929717760 |
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| author | Fengjun Xu |
| author_facet | Fengjun Xu |
| author_sort | Fengjun Xu |
| collection | DOAJ |
| description | Abstract In this note, we study the Swampland Distance Conjecture in TCS G 2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the K3-fiber in a TCS G 2 manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking K3-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS G 2 compactifications, which might lead to a weakly coupled fundamental type II string theory. |
| first_indexed | 2024-12-12T20:54:23Z |
| format | Article |
| id | doaj.art-8e756de2bb1a4d738a23703f3b391a7a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T20:54:23Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8e756de2bb1a4d738a23703f3b391a7a2022-12-22T00:12:19ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201012810.1007/JHEP10(2020)045On TCS G 2 manifolds and 4D emergent stringsFengjun Xu0Institut für Theoretische Physik, Ruprecht-Karls-UniversitätAbstract In this note, we study the Swampland Distance Conjecture in TCS G 2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the K3-fiber in a TCS G 2 manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking K3-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS G 2 compactifications, which might lead to a weakly coupled fundamental type II string theory.http://link.springer.com/article/10.1007/JHEP10(2020)045M-TheoryF-TheoryString Duality |
| spellingShingle | Fengjun Xu On TCS G 2 manifolds and 4D emergent strings Journal of High Energy Physics M-Theory F-Theory String Duality |
| title | On TCS G 2 manifolds and 4D emergent strings |
| title_full | On TCS G 2 manifolds and 4D emergent strings |
| title_fullStr | On TCS G 2 manifolds and 4D emergent strings |
| title_full_unstemmed | On TCS G 2 manifolds and 4D emergent strings |
| title_short | On TCS G 2 manifolds and 4D emergent strings |
| title_sort | on tcs g 2 manifolds and 4d emergent strings |
| topic | M-Theory F-Theory String Duality |
| url | http://link.springer.com/article/10.1007/JHEP10(2020)045 |
| work_keys_str_mv | AT fengjunxu ontcsg2manifoldsand4demergentstrings |