Towards a complete classification of 6D supergravities
Abstract The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. First, we generalize a previously known infinite cla...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)095 |
| _version_ | 1797276141976813568 |
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| author | Yuta Hamada Gregory J. Loges |
| author_facet | Yuta Hamada Gregory J. Loges |
| author_sort | Yuta Hamada |
| collection | DOAJ |
| description | Abstract The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. First, we generalize a previously known infinite class of anomaly-free theories which has 𝑇 ≫ 9 to essentially any semi-simple gauge group and infinitely many choices for hypermultiplets. The construction relies on having many decoupled sectors all selected from a list of four simple theories which we identify. Second, we use ideas from graph theory to rephrase the task of finding anomaly-free theories as constructing cliques in a certain multigraph. A branch-and-bound type algorithm is described which can be used to explicitly construct, in a 𝑇-independent way, anomaly-free theories with an arbitrary number of simple factors in the gauge group. We implement these ideas to generate an ensemble of O $$ \mathcal{O} $$ (107) irreducible cliques from which anomaly-free theories may be easily built, and as a special case obtain a complete list of 19,847 consistent theories for 𝑇 = 0, for which the maximal gauge group rank is 24. Modulo U(1), SU(2) and SU(3) simple factors and the new infinite families, we give a complete characterization of anomaly-free theories and show that the bound 𝑇 ≤ 273 is sharp. |
| first_indexed | 2024-03-07T15:24:05Z |
| format | Article |
| id | doaj.art-a57a29019faf42f48f0d9f4fe76b3819 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:24:05Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a57a29019faf42f48f0d9f4fe76b38192024-03-05T17:27:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024215610.1007/JHEP02(2024)095Towards a complete classification of 6D supergravitiesYuta Hamada0Gregory J. Loges1Theory Center, IPNS, High Energy Accelerator Research Organization (KEK)Theory Center, IPNS, High Energy Accelerator Research Organization (KEK)Abstract The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. First, we generalize a previously known infinite class of anomaly-free theories which has 𝑇 ≫ 9 to essentially any semi-simple gauge group and infinitely many choices for hypermultiplets. The construction relies on having many decoupled sectors all selected from a list of four simple theories which we identify. Second, we use ideas from graph theory to rephrase the task of finding anomaly-free theories as constructing cliques in a certain multigraph. A branch-and-bound type algorithm is described which can be used to explicitly construct, in a 𝑇-independent way, anomaly-free theories with an arbitrary number of simple factors in the gauge group. We implement these ideas to generate an ensemble of O $$ \mathcal{O} $$ (107) irreducible cliques from which anomaly-free theories may be easily built, and as a special case obtain a complete list of 19,847 consistent theories for 𝑇 = 0, for which the maximal gauge group rank is 24. Modulo U(1), SU(2) and SU(3) simple factors and the new infinite families, we give a complete characterization of anomaly-free theories and show that the bound 𝑇 ≤ 273 is sharp.https://doi.org/10.1007/JHEP02(2024)095Anomalies in Field and String TheoriesSupergravity Models |
| spellingShingle | Yuta Hamada Gregory J. Loges Towards a complete classification of 6D supergravities Journal of High Energy Physics Anomalies in Field and String Theories Supergravity Models |
| title | Towards a complete classification of 6D supergravities |
| title_full | Towards a complete classification of 6D supergravities |
| title_fullStr | Towards a complete classification of 6D supergravities |
| title_full_unstemmed | Towards a complete classification of 6D supergravities |
| title_short | Towards a complete classification of 6D supergravities |
| title_sort | towards a complete classification of 6d supergravities |
| topic | Anomalies in Field and String Theories Supergravity Models |
| url | https://doi.org/10.1007/JHEP02(2024)095 |
| work_keys_str_mv | AT yutahamada towardsacompleteclassificationof6dsupergravities AT gregoryjloges towardsacompleteclassificationof6dsupergravities |