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Twisted Circle Compactifications of 6d SCFTs

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arxiv 1909.11666 v3 pith:IDBC56GH submitted 2019-09-25 hep-th

Lakshya Bhardwaj , Patrick Jefferson , Hee-Cheol Kim , Houri-Christina Tarazi , Cumrun Vafa This is my paper · ORCID
classification hep-th
keywords scftstheoriescalabi-yaucircleflowscompactifieddescriptionlocal
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We study 6d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points for RG flows to 5d SCFTs. According to a conjecture, all 5d SCFTs can be obtained in this fashion. We compute the Coulomb branch prepotential for all 5d KK theories obtainable in this manner and associate to these theories a smooth local genus one fibered Calabi-Yau threefold in which is encoded information about all possible RG flows to 5d SCFTs. These Calabi-Yau threefolds provide hitherto unknown M-theory duals of F-theory configurations compactified on a circle with twists. For certain exceptional KK theories that do not admit a standard geometric description we propose an algebraic description that appears to retain the properties of the local Calabi-Yau threefolds necessary to determine RG flows to 5d SCFTs, along with other relevant physical data.

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