Toric bases for 6D F-theory models
We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the intersection structure of the irredu cible effective divisors on the base. These bases can be used for F-theory constructions of six-di mensional quantum supergrav- ity theories. There are 61,539 disti...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019
|
| Online Access: | https://hdl.handle.net/1721.1/121373 |
| _version_ | 1811085069358465024 |
|---|---|
| author | Morrison, David R. Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Morrison, David R. Taylor, Washington |
| author_sort | Morrison, David R. |
| collection | MIT |
| description | We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the intersection structure of the irredu cible effective divisors on the base. These bases can be used for F-theory constructions of six-di mensional quantum supergrav- ity theories. There are 61,539 distinct possible toric base s. The associated 6D supergravity theories have a number of tensor multiplets ranging from 0 to 193. For each base an explicit Weierstrass parameterization can be determined i n terms of the toric data. The toric counting of parameters matches with the gravitationa l anomaly constraint on mass- less fields. For bases associated with theories having a larg e number of tensor multiplets, there is a large non-Higgsable gauge group containing multi ple irreducible gauge group fac- tors, particularly those having algebras e₈, f₄, and g₂ ⊕ su (2) with minimal (non-Higgsable) matter. |
| first_indexed | 2024-09-23T13:02:26Z |
| format | Article |
| id | mit-1721.1/121373 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:02:26Z |
| publishDate | 2019 |
| publisher | Wiley |
| record_format | dspace |
| spelling | mit-1721.1/1213732022-10-01T12:42:24Z Toric bases for 6D F-theory models Morrison, David R. Taylor, Washington Massachusetts Institute of Technology. Department of Physics We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the intersection structure of the irredu cible effective divisors on the base. These bases can be used for F-theory constructions of six-di mensional quantum supergrav- ity theories. There are 61,539 distinct possible toric base s. The associated 6D supergravity theories have a number of tensor multiplets ranging from 0 to 193. For each base an explicit Weierstrass parameterization can be determined i n terms of the toric data. The toric counting of parameters matches with the gravitationa l anomaly constraint on mass- less fields. For bases associated with theories having a larg e number of tensor multiplets, there is a large non-Higgsable gauge group containing multi ple irreducible gauge group fac- tors, particularly those having algebras e₈, f₄, and g₂ ⊕ su (2) with minimal (non-Higgsable) matter. 2019-06-21T16:37:45Z 2019-06-21T16:37:45Z 2012-12 2012-04 2019-06-19T14:51:15Z Article http://purl.org/eprint/type/JournalArticle 0015-8208 1521-3978 https://hdl.handle.net/1721.1/121373 Morrison, David R. and Washington Taylor. "Toric bases for 6D F-theory models." Fortschritte der Physik 60 (Nov. 2012):11-12. en 10.1002/prop.201200086 Fortschritte der Physik Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley arXiv |
| spellingShingle | Morrison, David R. Taylor, Washington Toric bases for 6D F-theory models |
| title | Toric bases for 6D F-theory models |
| title_full | Toric bases for 6D F-theory models |
| title_fullStr | Toric bases for 6D F-theory models |
| title_full_unstemmed | Toric bases for 6D F-theory models |
| title_short | Toric bases for 6D F-theory models |
| title_sort | toric bases for 6d f theory models |
| url | https://hdl.handle.net/1721.1/121373 |
| work_keys_str_mv | AT morrisondavidr toricbasesfor6dftheorymodels AT taylorwashington toricbasesfor6dftheorymodels |