Global aspects of the space of 6D N = 1 supergravities
We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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Springer Science + Business Media B.V.
2011
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| Online Access: | http://hdl.handle.net/1721.1/62560 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1811088822200434688 |
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| author | Morrison, David R. Kumar, Vijay Taylor IV, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Morrison, David R. Kumar, Vijay Taylor IV, Washington |
| author_sort | Morrison, David R. |
| collection | MIT |
| description | We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such theories can be decomposed into blocks associated with the simple factors in the gauge group; each block depends only on the group factor and the matter charged under it. All 6D chiral supergravity models can be constructed by gluing such blocks together in accordance with constraints from anomalies. Associating a geometric structure to each block gives a dictionary for translating a supergravity model into a set of topological data for an F-theory construction. We construct the dictionary of F-theory divisors explicitly for some simple gauge group factors and associated matter representations. Using these building blocks we analyze a variety of models. We identify some 6D supergravity models which do not map to integral F-theory divisors, possibly indicating quantum inconsistency of these 6D theories. |
| first_indexed | 2024-09-23T14:08:01Z |
| format | Article |
| id | mit-1721.1/62560 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:08:01Z |
| publishDate | 2011 |
| publisher | Springer Science + Business Media B.V. |
| record_format | dspace |
| spelling | mit-1721.1/625602022-09-28T18:43:16Z Global aspects of the space of 6D N = 1 supergravities Morrison, David R. Kumar, Vijay Taylor IV, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Taylor, Washington Kumar, Vijay M. S. Taylor, Washington We develop a systematic framework for realizing general anomaly-free chiral 6D supergravity theories in F-theory. We focus on 6D (1, 0) models with one tensor multiplet whose gauge group is a product of simple factors (modulo a finite abelian group) with matter in arbitrary representations. Such theories can be decomposed into blocks associated with the simple factors in the gauge group; each block depends only on the group factor and the matter charged under it. All 6D chiral supergravity models can be constructed by gluing such blocks together in accordance with constraints from anomalies. Associating a geometric structure to each block gives a dictionary for translating a supergravity model into a set of topological data for an F-theory construction. We construct the dictionary of F-theory divisors explicitly for some simple gauge group factors and associated matter representations. Using these building blocks we analyze a variety of models. We identify some 6D supergravity models which do not map to integral F-theory divisors, possibly indicating quantum inconsistency of these 6D theories. Kavli Institute for Theoretical Physics Graduate Fellow United States. Dept. of Energy (contract # DEFC02- 94ER40818) National Science Foundation (U.S.) (grant DMS-0606578) National Science Foundation (U.S.) (grant PHY05-51164) 2011-04-28T20:16:19Z 2011-04-28T20:16:19Z 2010-11 2010-08 Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/62560 Kumar, Vijay, David Morrison, and Washington Taylor. “Global Aspects of the Space of 6D N = 1 Supergravities.” Journal of High Energy Physics 2010.11 (2010) : 1-39. https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1007/JHEP11(2010)118 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 Science + Business Media B.V. Prof. Taylor via Mat Willmott |
| spellingShingle | Morrison, David R. Kumar, Vijay Taylor IV, Washington Global aspects of the space of 6D N = 1 supergravities |
| title | Global aspects of the space of 6D N = 1 supergravities |
| title_full | Global aspects of the space of 6D N = 1 supergravities |
| title_fullStr | Global aspects of the space of 6D N = 1 supergravities |
| title_full_unstemmed | Global aspects of the space of 6D N = 1 supergravities |
| title_short | Global aspects of the space of 6D N = 1 supergravities |
| title_sort | global aspects of the space of 6d n 1 supergravities |
| url | http://hdl.handle.net/1721.1/62560 https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT morrisondavidr globalaspectsofthespaceof6dn1supergravities AT kumarvijay globalaspectsofthespaceof6dn1supergravities AT taylorivwashington globalaspectsofthespaceof6dn1supergravities |