Do all 5d SCFTs descend from 6d SCFTs?
Abstract We present examples of 5d SCFTs that serve as counter-examples to a recently actively studied conjecture according to which it should be possible to obtain all 5d SCFTs by integrating out BPS particles from 6d SCFTs compactified on a circle. We further observe that it is possible to obtain...
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Format: | Article |
Language: | English |
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SpringerOpen
2021-04-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP04(2021)085 |
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author | Lakshya Bhardwaj |
author_facet | Lakshya Bhardwaj |
author_sort | Lakshya Bhardwaj |
collection | DOAJ |
description | Abstract We present examples of 5d SCFTs that serve as counter-examples to a recently actively studied conjecture according to which it should be possible to obtain all 5d SCFTs by integrating out BPS particles from 6d SCFTs compactified on a circle. We further observe that it is possible to obtain these 5d SCFTs from 6d SCFTs if one allows integrating out BPS strings as well. Based on this observation, we propose a revised version of the conjecture according to which it should be possible to obtain all 5d SCFTs by integrating out both BPS particles and BPS strings from 6d SCFTs compactified on a circle. We describe a general procedure to integrate out BPS strings from a 5d theory once a geometric description of the 5d theory is given. We also discuss the consequences of the revised conjecture for the classification program of 5d SCFTs. |
first_indexed | 2024-12-22T05:40:35Z |
format | Article |
id | doaj.art-5a71d5fc67114588a374c86dc19b19c9 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-22T05:40:35Z |
publishDate | 2021-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-5a71d5fc67114588a374c86dc19b19c92022-12-21T18:37:11ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021411510.1007/JHEP04(2021)085Do all 5d SCFTs descend from 6d SCFTs?Lakshya Bhardwaj0Department of Physics, Harvard UniversityAbstract We present examples of 5d SCFTs that serve as counter-examples to a recently actively studied conjecture according to which it should be possible to obtain all 5d SCFTs by integrating out BPS particles from 6d SCFTs compactified on a circle. We further observe that it is possible to obtain these 5d SCFTs from 6d SCFTs if one allows integrating out BPS strings as well. Based on this observation, we propose a revised version of the conjecture according to which it should be possible to obtain all 5d SCFTs by integrating out both BPS particles and BPS strings from 6d SCFTs compactified on a circle. We describe a general procedure to integrate out BPS strings from a 5d theory once a geometric description of the 5d theory is given. We also discuss the consequences of the revised conjecture for the classification program of 5d SCFTs.https://doi.org/10.1007/JHEP04(2021)085Conformal Field TheoryField Theories in Higher DimensionsM-TheorySupersymmetric Gauge Theory |
spellingShingle | Lakshya Bhardwaj Do all 5d SCFTs descend from 6d SCFTs? Journal of High Energy Physics Conformal Field Theory Field Theories in Higher Dimensions M-Theory Supersymmetric Gauge Theory |
title | Do all 5d SCFTs descend from 6d SCFTs? |
title_full | Do all 5d SCFTs descend from 6d SCFTs? |
title_fullStr | Do all 5d SCFTs descend from 6d SCFTs? |
title_full_unstemmed | Do all 5d SCFTs descend from 6d SCFTs? |
title_short | Do all 5d SCFTs descend from 6d SCFTs? |
title_sort | do all 5d scfts descend from 6d scfts |
topic | Conformal Field Theory Field Theories in Higher Dimensions M-Theory Supersymmetric Gauge Theory |
url | https://doi.org/10.1007/JHEP04(2021)085 |
work_keys_str_mv | AT lakshyabhardwaj doall5dscftsdescendfrom6dscfts |