English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We revisit the correspondence between Calabi-Yau (CY) threefold isolatedsingularities $\mathbf{X}$ and five-dimensional superconformal field theories(SCFTs), which arise at low energy in M-theory on the space-time transverse to$\mathbf{X}$. Focussing on the case of toric CY singularities, we analyze the"gauge-theory phases" of the SCFT by exploiting fiberwise M-theory/type IIAduality. In this setup, the low-energy gauge group simply arises on stacks ofcoincident D6-branes wrapping 2-cycles in some ALE space of type $A_{M-1}$fibered over a real line, and the map between the K\"ahler parameters of$\mathbf{X}$ and the Coulomb branch parameters of the field theory (masses andVEVs) can be read off systematically. Different type IIA "reductions" give riseto different gauge theory phases, whose existence depends on the particular(partial) resolutions of the isolated singularity $\mathbf{X}$. We also commenton the case of non-isolated toric singularities. Incidentally, we propose aslightly modified expression for the Coulomb-branch prepotential of 5d$\mathcal{N}=1$ gauge theories.

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