Journal of High Energy Physics

, 2019:282 | Cite as

Classifying 5d SCFTs via 6d SCFTs: arbitrary rank

  • Lakshya BhardwajEmail author
  • Patrick Jefferson
Open Access
Regular Article - Theoretical Physics


According to a conjecture, all 5d SCFTs should be obtainable by rank- preserving RG flows of 6d SCFTs compactified on a circle possibly twisted by a background for the discrete global symmetries around the circle. For a 6d SCFT admitting an F-theory construction, its untwisted compactification admits a dual M-theory description in terms of a “parent” Calabi-Yau threefold which captures the Coulomb branch of the compacti- fied 6d SCFT. The RG flows to 5d SCFTs can then be identified with a sequence of flop transitions and blowdowns of the parent Calabi-Yau leading to “descendant” Calabi-Yau threefolds which describe the Coulomb branches of the resulting 5d SCFTs. An explicit description of parent Calabi-Yaus is known for untwisted compactifications of rank one 6d SCFTs. In this paper, we provide a description of parent Calabi-Yaus for untwisted compactifications of arbitrary rank 6d SCFTs. Since 6d SCFTs of arbitrary rank can be viewed as being constructed out of rank one SCFTs, we accomplish the extension to arbi- trary rank by identifying a prescription for gluing together Calabi-Yaus associated to rank one 6d SCFTs.


F-Theory Field Theories in Higher Dimensions M-Theory 


Open Access

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Supplementary material

13130_2019_11710_MOESM1_ESM.nb (62 kb)
ESM 1 (NB 62 kb)


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of PhysicsHarvard UniversityCambridgeU.S.A.

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