A bstract The open string sector of the topological B-model on CY ( m + 2)-folds is described by m -graded quivers with superpotentials. This correspondence generalizes the connection between CY ( m + 2)-folds and gauge theories on the worldvolume of D(5 − 2 m )-branes for m = 0 , . . . , 3 to arbitrary m . In this paper we introduce the Calabi-Yau product, a new algorithm that starting from the known quiver theories for a pair of toric CY m +2 and CY n +2 produces the quiver theory for a related CY m + n +3 . This method significantly supersedes existing ones, enabling the simple determination of quiver theories for geometries that were previously out of practical reach.
Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
We revisit the correspondence between Calabi-Yau (CY) threefoldisolated singularities \mathbf{X} 𝐗 and five-dimensional superconformal field theories (SCFTs), which ariseat low energy in M-theory on the space-time transverse to \mathbf{X} 𝐗 .Focussing on the case of toric CY singularities, we analyze the“gauge-theory phases” of the SCFT by exploiting fiberwise M-theory/typeIIA duality. In this setup, the low-energy gauge group simply arises onstacks of coincident D6-branes wrapping 2-cycles in some ALE space oftype A_{M-1} A M − 1 fibered over a real line, and the map between the Kähler parameters of \mathbf{X} 𝐗 and the Coulomb branch parameters of the field theory (masses and VEVs)can be read off systematically. Different type IIA “reductions” giverise to different gauge theory phases, whose existence depends on theparticular (partial) resolutions of the isolated singularity \mathbf{X} 𝐗 .We also comment on the case of non-isolated toric singularities.Incidentally, we propose a slightly modified expression for theCoulomb-branch prepotential of 5d \mathcal{N}=1 𝒩 = 1 gauge theories.
- Award ID(s):
- 1915093
- Publication Date:
- NSF-PAR ID:
- 10165541
- Journal Name:
- SciPost Physics
- Volume:
- 6
- Issue:
- 5
- ISSN:
- 2542-4653
- Sponsoring Org:
- National Science Foundation
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Accepted Manuscript1.0
- Publisher's Version of Record
- https://doi.org/10.21468/SciPostPhys.6.5.052
