Merging the weak gravity and distance conjectures using BPS extremal black holes
Abstract We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of N $$ \mathcal{N} $$ = 2 compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)176 |
| _version_ | 1818737419929780224 |
|---|---|
| author | Naomi Gendler Irene Valenzuela |
| author_facet | Naomi Gendler Irene Valenzuela |
| author_sort | Naomi Gendler |
| collection | DOAJ |
| description | Abstract We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of N $$ \mathcal{N} $$ = 2 compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple gauge and scalar fields. We show that the BPS bound coincides with the black hole extremality bound in these infinite distance limits, and that the charge-to-mass vectors of the BPS states lie on degenerate ellipsoids with only two non-degenerate directions, regardless of the number of moduli or gauge fields. We provide the numerical value of the principal radii of the ellipsoid in terms of the classification of the singularity that is being approached. We use these findings to inform the Swampland Distance Conjecture, which states that a tower of states becomes exponentially light along geodesic trajectories towards infinite field distance. We place general bounds on the mass decay rate λ of this tower in terms of the black hole extremality bound, which in our setup implies λ ≥ 1 / 6 $$ \lambda \ge 1/\sqrt{6} $$ . We expect this framework to persist beyond N $$ \mathcal{N} $$ = 2 as long as a gauge coupling becomes small in the infinite field distance limit. |
| first_indexed | 2024-12-18T00:52:45Z |
| format | Article |
| id | doaj.art-b7a9fe2d63014b719af95cb9caaacdc8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T00:52:45Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b7a9fe2d63014b719af95cb9caaacdc82022-12-21T21:26:36ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021116910.1007/JHEP01(2021)176Merging the weak gravity and distance conjectures using BPS extremal black holesNaomi Gendler0Irene Valenzuela1Department of Physics, Cornell UniversityJefferson Physical Laboratory, Harvard UniversityAbstract We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of N $$ \mathcal{N} $$ = 2 compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple gauge and scalar fields. We show that the BPS bound coincides with the black hole extremality bound in these infinite distance limits, and that the charge-to-mass vectors of the BPS states lie on degenerate ellipsoids with only two non-degenerate directions, regardless of the number of moduli or gauge fields. We provide the numerical value of the principal radii of the ellipsoid in terms of the classification of the singularity that is being approached. We use these findings to inform the Swampland Distance Conjecture, which states that a tower of states becomes exponentially light along geodesic trajectories towards infinite field distance. We place general bounds on the mass decay rate λ of this tower in terms of the black hole extremality bound, which in our setup implies λ ≥ 1 / 6 $$ \lambda \ge 1/\sqrt{6} $$ . We expect this framework to persist beyond N $$ \mathcal{N} $$ = 2 as long as a gauge coupling becomes small in the infinite field distance limit.https://doi.org/10.1007/JHEP01(2021)176Black Holes in String TheorySuperstring VacuaSupergravity ModelsModels of Quantum Gravity |
| spellingShingle | Naomi Gendler Irene Valenzuela Merging the weak gravity and distance conjectures using BPS extremal black holes Journal of High Energy Physics Black Holes in String Theory Superstring Vacua Supergravity Models Models of Quantum Gravity |
| title | Merging the weak gravity and distance conjectures using BPS extremal black holes |
| title_full | Merging the weak gravity and distance conjectures using BPS extremal black holes |
| title_fullStr | Merging the weak gravity and distance conjectures using BPS extremal black holes |
| title_full_unstemmed | Merging the weak gravity and distance conjectures using BPS extremal black holes |
| title_short | Merging the weak gravity and distance conjectures using BPS extremal black holes |
| title_sort | merging the weak gravity and distance conjectures using bps extremal black holes |
| topic | Black Holes in String Theory Superstring Vacua Supergravity Models Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP01(2021)176 |
| work_keys_str_mv | AT naomigendler mergingtheweakgravityanddistanceconjecturesusingbpsextremalblackholes AT irenevalenzuela mergingtheweakgravityanddistanceconjecturesusingbpsextremalblackholes |