Dense geodesics, tower alignment, and the Sharpened Distance Conjecture
Abstract The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1. The infinite distance geodesics passing through an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2024)122 |
| _version_ | 1797341355366678528 |
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| author | Muldrow Etheredge |
| author_facet | Muldrow Etheredge |
| author_sort | Muldrow Etheredge |
| collection | DOAJ |
| description | Abstract The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1. The infinite distance geodesics passing through an arbitrary point ϕ in the moduli space populate a dense set of directions in the tangent space at ϕ. 2. Along any infinite distance geodesic, there exists a tower of particles whose scalar-charge-to-mass ratio (–∇log m) projection everywhere along the geodesic is greater than or equal to 1 / d − 2 $$ 1/\sqrt{d-2} $$ . I perform several nontrivial tests of these new conjectures in maximal and half-maximal supergravity examples. I also use the Tower Scalar Weak Gravity Conjecture to conjecture a sharp bound on exponentially heavy towers that accompany infinite distance limits. |
| first_indexed | 2024-03-08T10:17:49Z |
| format | Article |
| id | doaj.art-8013c6ad76ce4044b2ebe1f0beb46e7d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:49Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8013c6ad76ce4044b2ebe1f0beb46e7d2024-01-28T12:23:42ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113510.1007/JHEP01(2024)122Dense geodesics, tower alignment, and the Sharpened Distance ConjectureMuldrow Etheredge0Department of Physics, University of MassachusettsAbstract The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1. The infinite distance geodesics passing through an arbitrary point ϕ in the moduli space populate a dense set of directions in the tangent space at ϕ. 2. Along any infinite distance geodesic, there exists a tower of particles whose scalar-charge-to-mass ratio (–∇log m) projection everywhere along the geodesic is greater than or equal to 1 / d − 2 $$ 1/\sqrt{d-2} $$ . I perform several nontrivial tests of these new conjectures in maximal and half-maximal supergravity examples. I also use the Tower Scalar Weak Gravity Conjecture to conjecture a sharp bound on exponentially heavy towers that accompany infinite distance limits.https://doi.org/10.1007/JHEP01(2024)122String and Brane PhenomenologyM-TheoryP-Branes |
| spellingShingle | Muldrow Etheredge Dense geodesics, tower alignment, and the Sharpened Distance Conjecture Journal of High Energy Physics String and Brane Phenomenology M-Theory P-Branes |
| title | Dense geodesics, tower alignment, and the Sharpened Distance Conjecture |
| title_full | Dense geodesics, tower alignment, and the Sharpened Distance Conjecture |
| title_fullStr | Dense geodesics, tower alignment, and the Sharpened Distance Conjecture |
| title_full_unstemmed | Dense geodesics, tower alignment, and the Sharpened Distance Conjecture |
| title_short | Dense geodesics, tower alignment, and the Sharpened Distance Conjecture |
| title_sort | dense geodesics tower alignment and the sharpened distance conjecture |
| topic | String and Brane Phenomenology M-Theory P-Branes |
| url | https://doi.org/10.1007/JHEP01(2024)122 |
| work_keys_str_mv | AT muldrowetheredge densegeodesicstoweralignmentandthesharpeneddistanceconjecture |