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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Main Author: Lakshya Bhardwaj
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Journal of High Energy Physics
Subjects:
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
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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.
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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