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Classifying 5d SCFTs via 6d SCFTs: arbitrary rank
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Classifying 5d SCFTs via 6d SCFTs: arbitrary rank
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Journal Article
Classifying 5d SCFTs via 6d SCFTs: arbitrary rank
2019
Overview
A
bstract
According to a conjecture, all 5
d
SCFTs should be obtainable by rank- preserving RG flows of 6
d
SCFTs compactified on a circle possibly twisted by a background for the discrete global symmetries around the circle. For a 6
d
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 6
d
SCFT. The RG flows to 5
d
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 5
d
SCFTs. An explicit description of parent Calabi-Yaus is known for untwisted compactifications of rank one 6
d
SCFTs. In this paper, we provide a description of parent Calabi-Yaus for untwisted compactifications of arbitrary rank 6
d
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
