Matter and singularities
We analyze the structure of matter representations arising from codimension two singularities in F-theory, focusing on gauge groups SU(N). We give a detailed local description of the geometry associated with several types of singularities and the associated matter representations. We also construct...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2013
|
| Online Access: | http://hdl.handle.net/1721.1/76625 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1826197359123496960 |
|---|---|
| author | Morrison, David R. Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Morrison, David R. Taylor, Washington |
| author_sort | Morrison, David R. |
| collection | MIT |
| description | We analyze the structure of matter representations arising from codimension two singularities in F-theory, focusing on gauge groups SU(N). We give a detailed local description of the geometry associated with several types of singularities and the associated matter representations. We also construct global F-theory models for 6D and 4D theories containing these matter representations. The codimension two singularities encountered include examples where the apparent Kodaira singularity type does not need to be completely resolved to produce a smooth Calabi-Yau, examples with rank enhancement by more than one, and examples where the 7-brane configuration is singular. We identify novel phase transitions, in some of which the gauge group remains fixed but the singularity type and associated matter content change along a continuous family of theories. Global analysis of 6D theories on ℙ[superscript 2] with 7-branes wrapped on curves of small degree reproduces the range of 6D supergravity theories identified through anomaly cancellation and other consistency conditions. Analogous 4D models are constructed through global F-theory compactifications on ℙ[superscript 3], and have a similar pattern of SU(N) matter content. This leads to a constraint on the matter content of a limited class of 4D supergravity theories containing SU(N) as a local factor of the gauge group. |
| first_indexed | 2024-09-23T10:46:47Z |
| format | Article |
| id | mit-1721.1/76625 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:46:47Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/766252022-09-27T14:55:37Z Matter and singularities Morrison, David R. Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Taylor, Washington We analyze the structure of matter representations arising from codimension two singularities in F-theory, focusing on gauge groups SU(N). We give a detailed local description of the geometry associated with several types of singularities and the associated matter representations. We also construct global F-theory models for 6D and 4D theories containing these matter representations. The codimension two singularities encountered include examples where the apparent Kodaira singularity type does not need to be completely resolved to produce a smooth Calabi-Yau, examples with rank enhancement by more than one, and examples where the 7-brane configuration is singular. We identify novel phase transitions, in some of which the gauge group remains fixed but the singularity type and associated matter content change along a continuous family of theories. Global analysis of 6D theories on ℙ[superscript 2] with 7-branes wrapped on curves of small degree reproduces the range of 6D supergravity theories identified through anomaly cancellation and other consistency conditions. Analogous 4D models are constructed through global F-theory compactifications on ℙ[superscript 3], and have a similar pattern of SU(N) matter content. This leads to a constraint on the matter content of a limited class of 4D supergravity theories containing SU(N) as a local factor of the gauge group. United States. Dept. of Energy (Contract DE-FC02-94ER40818) National Science Foundation (U.S.) (Grant DMS-1007414) 2013-01-29T19:33:39Z 2013-01-29T19:33:39Z 2012-01 Article http://purl.org/eprint/type/JournalArticle 1126-6708 1029-8479 http://hdl.handle.net/1721.1/76625 Morrison, David R., and Washington Taylor. “Matter and Singularities.” Journal of High Energy Physics 2012.1 (2012). https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1007/jhep01(2012)022 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Morrison, David R. Taylor, Washington Matter and singularities |
| title | Matter and singularities |
| title_full | Matter and singularities |
| title_fullStr | Matter and singularities |
| title_full_unstemmed | Matter and singularities |
| title_short | Matter and singularities |
| title_sort | matter and singularities |
| url | http://hdl.handle.net/1721.1/76625 https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT morrisondavidr matterandsingularities AT taylorwashington matterandsingularities |