Exotic matter on singular divisors in F-theory
We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2)...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing AG
2018
|
| Online Access: | http://hdl.handle.net/1721.1/114622 https://orcid.org/0000-0002-0586-871X https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1826189149505323008 |
|---|---|
| author | Klevers, Denis Morrison, David R. Raghuram, Nikhil Taylor IV, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Klevers, Denis Morrison, David R. Raghuram, Nikhil Taylor IV, Washington |
| author_sort | Klevers, Denis |
| collection | MIT |
| description | We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in F-theory but have no apparent low-energy inconsistency. Keywords: F-Theory; Differential and Algebraic Geometry; Supergravity Models; Superstring Vacua |
| first_indexed | 2024-09-23T08:10:19Z |
| format | Article |
| id | mit-1721.1/114622 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:10:19Z |
| publishDate | 2018 |
| publisher | Springer International Publishing AG |
| record_format | dspace |
| spelling | mit-1721.1/1146222022-09-23T11:23:55Z Exotic matter on singular divisors in F-theory Klevers, Denis Morrison, David R. Raghuram, Nikhil Taylor IV, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Raghuram, Nikhil Taylor IV, Washington We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in F-theory but have no apparent low-energy inconsistency. Keywords: F-Theory; Differential and Algebraic Geometry; Supergravity Models; Superstring Vacua National Science Foundation (U.S.) (Grant PHY-1066293) 2018-04-09T15:39:00Z 2018-04-09T15:39:00Z 2017-11 2017-08 2017-11-23T05:16:16Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/114622 Klevers, Denis et al. "Exotic matter on singular divisors in F-theory." Journal of High Energy Physics 2017 (November 2017): 124 © 2017 The Author(s) https://orcid.org/0000-0002-0586-871X https://orcid.org/0000-0001-8566-6706 en http://dx.doi.org/10.1007/JHEP11(2017)124 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer International Publishing AG Springer Berlin Heidelberg |
| spellingShingle | Klevers, Denis Morrison, David R. Raghuram, Nikhil Taylor IV, Washington Exotic matter on singular divisors in F-theory |
| title | Exotic matter on singular divisors in F-theory |
| title_full | Exotic matter on singular divisors in F-theory |
| title_fullStr | Exotic matter on singular divisors in F-theory |
| title_full_unstemmed | Exotic matter on singular divisors in F-theory |
| title_short | Exotic matter on singular divisors in F-theory |
| title_sort | exotic matter on singular divisors in f theory |
| url | http://hdl.handle.net/1721.1/114622 https://orcid.org/0000-0002-0586-871X https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT kleversdenis exoticmatteronsingulardivisorsinftheory AT morrisondavidr exoticmatteronsingulardivisorsinftheory AT raghuramnikhil exoticmatteronsingulardivisorsinftheory AT taylorivwashington exoticmatteronsingulardivisorsinftheory |