Twisted Circle Compactifications of 6d SCFTs
Abstract
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.
Cite
@article{arxiv.1909.11666,
title = {Twisted Circle Compactifications of 6d SCFTs},
author = {Lakshya Bhardwaj and Patrick Jefferson and Hee-Cheol Kim and Houri-Christina Tarazi and Cumrun Vafa},
journal= {arXiv preprint arXiv:1909.11666},
year = {2021}
}
Comments
v3 (JHEP submission): minor typos corrected, improved discussion in Appendix A and D