Mapping 6D N=1 supergravities to F-theory
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 / SISSA
2011
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| Online Access: | http://hdl.handle.net/1721.1/64687 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1811072004559732736 |
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| author | Kumar, Vijay Morrison, David R. Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Kumar, Vijay Morrison, David R. Taylor, Washington |
| author_sort | Kumar, Vijay |
| 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 | 2024-09-23T08:59:23Z |
| format | Article |
| id | mit-1721.1/64687 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:59:23Z |
| publishDate | 2011 |
| publisher | Springer / SISSA |
| record_format | dspace |
| spelling | mit-1721.1/646872022-09-30T12:39:56Z Mapping 6D N=1 supergravities to F-theory Kumar, Vijay Morrison, David R. Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Taylor, Washington Kumar, Vijay 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. United States. Dept. of Energy (Contract #DE-FC02-94ER40818) National Science Foundation (U.S.) (Grant DMS-0606578) 2011-06-27T21:15:23Z 2011-06-27T21:15:23Z 2010-02 2009-12 Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/64687 Kumar, Vijay, David R. Morrison, and Washington Taylor. “Mapping 6D N = 1 supergravities to F-theory.” Journal of High Energy Physics 2010.2 (2010) : n. pag. Copyright © 2010, SISSA, Trieste, Italy https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1007/jhep02(2010)099 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 / SISSA Prof. Taylor via Mat Willmott |
| spellingShingle | Kumar, Vijay Morrison, David R. Taylor, Washington Mapping 6D N=1 supergravities to F-theory |
| title | Mapping 6D N=1 supergravities to F-theory |
| title_full | Mapping 6D N=1 supergravities to F-theory |
| title_fullStr | Mapping 6D N=1 supergravities to F-theory |
| title_full_unstemmed | Mapping 6D N=1 supergravities to F-theory |
| title_short | Mapping 6D N=1 supergravities to F-theory |
| title_sort | mapping 6d n 1 supergravities to f theory |
| url | http://hdl.handle.net/1721.1/64687 https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT kumarvijay mapping6dn1supergravitiestoftheory AT morrisondavidr mapping6dn1supergravitiestoftheory AT taylorwashington mapping6dn1supergravitiestoftheory |