6D SCFTs and phases of 5D theories

Del Zotto, Michele; Heckman, Jonathan J.; Morrison, David R.

Abstract

Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. Using the correspon-dence between F-theory reduced on a circle and M-theory on the corresponding elliptically fibered Calabi-Yau threefold, we show that each 6D SCFT with minimal supersymmetry directly reduces to a collection of between one and four 5D SCFTs. Additionally, we find that in most cases, reduction of the tensor branch of a 6D SCFT yields a 5D generalization of a quiver gauge theory. These two reductions of the theory often correspond to different phases in the 5D theory which are in general connected by a sequence of flop transitions in the extended Kähler cone of the Calabi-Yau threefold. We also elaborate on the structure of the resulting conformal fixed points, and emergent flavor symmetries, as realized by M-theory on a canonical singularity.

Citation

Del Zotto, M., Heckman, J. J., & Morrison, D. R. (2017). 6D SCFTs and phases of 5D theories. Journal of High Energy Physics, 147(9), Article 147. https://doi.org/10.1007/jhep09%282017%29147

• Journal Article Type: Article
• Acceptance Date: Sep 5, 2017
• Online Publication Date: Sep 28, 2017
• Publication Date: Sep 28, 2017
• Deposit Date: Dec 17, 2019
• Publicly Available Date: Dec 19, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 147
• Issue: 9
• Article Number: 147
• DOI: https://doi.org/10.1007/jhep09%282017%29147
• Public URL: https://durham-repository.worktribe.com/output/1280613