Gopakumar-Vafa Invariants and the Emergent String Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913293252165632 |
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| author | Rudelius, Tom |
| author_facet | Rudelius, Tom |
| contents | The Emergent String Conjecture of Lee, Lerche, and Weigand holds that every infinite-distance limit in the moduli space of a quantum gravity represents either a decompactification limit or an emergent string limit in some duality frame. Within the context of 5d supergravities coming from M-theory compactifications on Calabi-Yau threefolds, we find evidence for this conjecture by studying (a) the gauge couplings and (b) the BPS spectrum, which is encoded in the Gopakumar-Vafa invariants of the threefold. In the process, we disuss a testable geometric consequence of the Emergent String Conjecture, and we verify that it is satisfied in all complete intersection Calabi-Yau threefolds in products of projective spaces (CICYs). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10024 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gopakumar-Vafa Invariants and the Emergent String Conjecture Rudelius, Tom High Energy Physics - Theory The Emergent String Conjecture of Lee, Lerche, and Weigand holds that every infinite-distance limit in the moduli space of a quantum gravity represents either a decompactification limit or an emergent string limit in some duality frame. Within the context of 5d supergravities coming from M-theory compactifications on Calabi-Yau threefolds, we find evidence for this conjecture by studying (a) the gauge couplings and (b) the BPS spectrum, which is encoded in the Gopakumar-Vafa invariants of the threefold. In the process, we disuss a testable geometric consequence of the Emergent String Conjecture, and we verify that it is satisfied in all complete intersection Calabi-Yau threefolds in products of projective spaces (CICYs). |
| title | Gopakumar-Vafa Invariants and the Emergent String Conjecture |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.10024 |