Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective

Closset, Cyril; Del Zotto, Michele; Saxena, Vivek

doi:10.21468/scipostphys.6.5.052

Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective

Closset, Cyril; Del Zotto, Michele; Saxena, Vivek

Authors

Cyril Closset

Michele Del Zotto

Vivek Saxena

Abstract

We revisit the correspondence between Calabi-Yau (CY) threefold isolated singularities X and five-dimensional superconformal field theories (SCFTs), which arise at low energy in M-theory on the space-time transverse to X. Focussing on the case of toric CY singularities, we analyze the “gauge-theory phases” of the SCFT by exploiting fiberwise M-theory/type IIA duality. In this setup, the low-energy gauge group simply arises on stacks of coincident D6-branes wrapping 2-cycles in some ALE space of type AM????1 fibered over a real line, and the map between the Kähler parameters of X and the Coulomb branch parameters of the field theory (masses and VEVs) can be read off systematically. Different type IIA “reductions” give rise to different gauge theory phases, whose existence depends on the particular (partial) resolutions of the isolated singularity X. We also comment on the case of non-isolated toric singularities. Incidentally, we propose a slightly modified expression for the Coulomb-branch prepotential of 5d N = 1 gauge theories.

Citation

Closset, C., Del Zotto, M., & Saxena, V. (2019). Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective. SciPost Physics, 6(5), Article 052. https://doi.org/10.21468/scipostphys.6.5.052

Journal Article Type	Article
Acceptance Date	Apr 17, 2019
Online Publication Date	May 1, 2019
Publication Date	May 31, 2019
Deposit Date	May 1, 2019
Publicly Available Date	May 1, 2019
Journal	SciPost Physics.
Print ISSN	2542-4653
Publisher	SciPost
Peer Reviewed	Peer Reviewed
Volume	6
Issue	5
Article Number	052
DOI	https://doi.org/10.21468/scipostphys.6.5.052