Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces
We construct a general class of Calabi–Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two elliptic fibrations with section over rational elliptic surfaces and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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International Press of Boston
2020
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| Online Access: | https://hdl.handle.net/1721.1/126423 |
| _version_ | 1826205661320445952 |
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| author | Morrison, David R. Park, Daniel S. Taylor IV, Washington |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Morrison, David R. Park, Daniel S. Taylor IV, Washington |
| author_sort | Morrison, David R. |
| collection | MIT |
| description | We construct a general class of Calabi–Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two elliptic fibrations with section over rational elliptic surfaces and blowups thereof. These elliptic fibrations generally have nonzero Mordell–Weil rank. Each of the elliptic fibrations has a physical interpretation in terms of a six-dimensional F-theory model with one or more non-Higgsable abelian gauge fields. Many of the models in this class have mild singularities that do not admit a Calabi–Yau resolution; this does not seem to compromise the physical integrity of the theory and can be associated in some cases with massless hypermultiplets localized at the singular loci. In some of these constructions, however, we find examples of abelian gauge fields that cannot be “un-Higgsed” to a nonabelian gauge field without producing unphysical singularities that cannot be resolved. The models studied here can also be used to exhibit T-duality for a class of little string theories. |
| first_indexed | 2024-09-23T13:16:55Z |
| format | Article |
| id | mit-1721.1/126423 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:16:55Z |
| publishDate | 2020 |
| publisher | International Press of Boston |
| record_format | dspace |
| spelling | mit-1721.1/1264232022-10-01T14:15:04Z Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces Morrison, David R. Park, Daniel S. Taylor IV, Washington Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Physics We construct a general class of Calabi–Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two elliptic fibrations with section over rational elliptic surfaces and blowups thereof. These elliptic fibrations generally have nonzero Mordell–Weil rank. Each of the elliptic fibrations has a physical interpretation in terms of a six-dimensional F-theory model with one or more non-Higgsable abelian gauge fields. Many of the models in this class have mild singularities that do not admit a Calabi–Yau resolution; this does not seem to compromise the physical integrity of the theory and can be associated in some cases with massless hypermultiplets localized at the singular loci. In some of these constructions, however, we find examples of abelian gauge fields that cannot be “un-Higgsed” to a nonabelian gauge field without producing unphysical singularities that cannot be resolved. The models studied here can also be used to exhibit T-duality for a class of little string theories. 2020-07-28T21:29:37Z 2020-07-28T21:29:37Z 2018-09 2019-06-11T11:34:50Z Article http://purl.org/eprint/type/JournalArticle 1095-0761 1095-0753 https://hdl.handle.net/1721.1/126423 Morrison, David R. et al. "Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces." Advances in Theoretical and Mathematical Physics 22, 1 (September 2018): 177 – 245 en http://dx.doi.org/10.4310/atmp.2018.v22.n1.a5 Advances in Theoretical and Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf International Press of Boston arXiv |
| spellingShingle | Morrison, David R. Park, Daniel S. Taylor IV, Washington Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title | Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title_full | Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title_fullStr | Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title_full_unstemmed | Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title_short | Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces |
| title_sort | non higgsable abelian gauge symmetry and mathrm f theory on fiber products of rational elliptic surfaces |
| url | https://hdl.handle.net/1721.1/126423 |
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